PLEASE HELP - mid term review question!
The isosceles triangle theorem states that if two sides of a triangle are _________, then the angles opposite those sides are congruent.
A. similar
B. adjacent
C. congruent
D. proportional
Answers
The isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent. The correct answer is option c.
What is the isosceles triangle?The triangle is having three sides in an isosceles triangle the two opposite sides are equal and the two adjacent angles with similar sides are equal.
The isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent.
Therefore the isosceles triangle theorem states that if two sides of a triangle are congruent then the angles opposite those sides are congruent. The correct answer is option c.
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Related Questions
What is the solution set of -|-x| = -12?
O no solution
O {-12}
O {12}
O {-12, 12}
Answers
Answer:
12 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]
Solution :{-12,12} so it's D
Please give brainliest
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
Answers
The measure of apothem is 1.75 cm.
The complete question is
The area of the regular octagon is 10.15 cm2.
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
What is an Octagon ?A polygon with eight sides , eight angles and eight vertices is called an octagon.
If a is the Side of the octagon.
10.15 = 2(1+√2) a²
a² = 10.15 / [2×(1+1.414)]
a² = 2.10
a = 1.45 cm
Therefore the side = 1.45 cm
A = 8 × (a × h)/2
If we consider 8 equilateral triangles with
a = face of octagon
h = Apothem of octagon
10.15 = 8 × (1.45 × h)/2
h = 10.15 /4/ 1.45
h = 1.75 cm
Therefore the measure of apothem is 1.75 cm.
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what is the volume of a cone if the height is 18 and the radius is 4
Answers
Answer:
V = 302
Step-by-step explanation:
Here, we have Radius(r)=4and Height(h)=18(Given)
l^2=r^2+h^2
l^2=42+182
l^2=340
l=18
Volume= πr2h/3
= 3.14159⋅42⋅18/3
= 302
Answer:
301.59289
Step-by-step explanation:
radius(r) = 4
height (h) = 18
we know,
volume of cone =
[tex]\pi \: {r \:}^{2} \frac{h}{3} [/tex]
[tex] \frac{22}{7} \: \times {4}^{2} \: \frac{18}{3} [/tex]
=301.59289
Which shape(s) have 2 or more lines of symmetry?
Answers
Answer:
D is the answer for you.
If the degree of a polynomial function is even and the leading coefficient is negative, then the end behavior of the function is?
Answers
Answer:
Its the last option.
Step-by-step explanation:
The function will rise from the left and descend to the right.
f(x) ---> -∝ as x ---> -∝ and f(x) ---> -∝ as x ---> ∝
Tamara wants to know how likely her bus is to be late.
She records the data over a month and finds it was late on
7 out of 25 times that she went to catch it.
Estimate the probability of the bus being late on any given day.
If she goes for the bus 20 times in the next month,
how often would she expect the bus to be late?
Answers
Step-by-step explanation:
if7=25
therefore??=20
Cross multiply
7 multiply 20 and then divide by 25
=28/5
5.6
round off it will be 6
hope it helps
The measure of each anterior angle of a regular decagon is
Answers
Answer:
The measure of each interior angle of a regular decagon is 144 degrees.
Step-by-step explanation:
The measure of the interior angles of a decagon is 1440, due to the formula being (n-2)(180). Since a decagon is a ten sided shape, it would be (10-2)(180).
8 x 180= 1440.
Next, we divide the total by the number of the sides the polygon has—ten. 1440 divided by 10 is 144, so the measure of each interior angle is 144 degrees.
Use the drawing tools to form the correct answer on the graph. Graph the line that represents this equation: y=-5x+2
Answers
An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given equation y=-5x+2 can be drawn as shown below.
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(X^2-16)/(x^2)-x-12
I know the answer is x+4/x+3
but i don't understand how x^2 -x - 12 simplifies into (x+3) (x-4)
Answers
Step-by-Step Solution:
We need to Factorize the given Quadratic Polynomial by using Splitting the Middle Term Method.
= x^2 - x - 12
= x^2 - 4x + 3x - 12
= x(x - 4) + 3(x - 4)
=> (x + 3)(x - 4)
What is the domain of the function shown in the
mapping?
Ox|x=-5, -3, 1, 2, 6}
O lyly=-9, -6, 0, 2, 4)
O {x|x=-9, -6, -5, -3, 0, 1, 2, 4, 6}
Oyly=-9, -6, -5, -3, 0, 1, 2, 4, 6}
Answers
Domain is the set of values for which the given function is defined. The correct option is A.
What is domain and range of a function?Domain is the set of values for which the given function is defined, therefore the are values that the function can take.
Range is the set of all values which the given function can produce an output.
Domain of a function is the range of the inputs which the function can take, therefore, the domain of the function shown in the mapping is,
x|x= -5, -3, 1, 2, 6}
Hence, the correct option is A.
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Find the area of triangle DFG.
A. 5.3 square units
B. 34.3 square units
C. 420.0 square units
D. 424.2 square units
Answers
Answer:
34.3 square unit.
Step-by-step explanation:
[tex]calculate \: df \: using \: pythagoras \\ theorem \\ df {}^{2} = 8 {}^{2} + 6 {}^{2} \\ df {}^{2} = 64 + 36 \\ df {}^{2} = 100 \\ df = \sqrt{100} \\ df = 10 \\ calculating \: for \: the \: area \: of \: \\ angle \: \: dfg \\ using \: heros \: formular \\ \\ area = \sqrt{s(s - a)(s - b)(s - c)} \\ s = \frac{a + b + c}{2} \\ s = \frac{10 + 11 + 7}{2} = \frac{28}{2} = 14 \\ area = \sqrt{14(14 - 10)(14 - 11)14(14 - 7)} \\ area = \sqrt{14(4)(3)(7)} = \sqrt{14 \times 84} \\ area = \sqrt{1176} = 34.2928564 \\ to \: the \: nearest \: tenth \: = 34.3[/tex]
Here it is stated that, side DE = 8 units, side EF = 6 units, side FG = 7 units and side GD = 11 units. We have to find area of ∆DFG, here we will use heron's formula which is given by:
Area of ∆ = √[s(s – a) (s – b) (s – c)]
Here a, b, and c are sides of ∆. We have;
b = FG = 7 unitsc = GD = 11 unitsa = DF = ?s = semi - perimeter = ?So firstly lets calculate a i.e DF by using Pythagoras theorem on ∆DEF:
➸ DF² = 8² + 6²
➸ DF² = (8 × 8) + (6 × 6)
➸ DF² = 64 + 36
➸ DF² = 100
➸ DF = √(100)
➸ DF = √(10 × 10)
➸ DF = 10 units
Now, lets calculate s i.e semi - perimeter:
s = (a + b + c)/2s = (10 + 7 + 11)/2s = 28/2s = 14 unitsNow, using heron's formula on ∆DFG to calculate its area:
➸ Area(∆DFG) = √[14(14 – 10) (14 – 7) (14 – 11)]
➸ Area(∆DFG) = √[14(4) (7) (3)
➸ Area(∆DFG) = √(14 × 4 × 7 × 3)
We can write it as;
➸ Area(∆DFG) = √(2 × 2 × 2 × 7 × 7 × 3)
➸ Area(∆DFG) = 2 × 7√(2 × 3)
➸ Area(∆DFG) = 14√(6)
➸ Area(∆DFG) = 14 × 2.449
➸ Area(∆DFG) = 34.28
➸ Area(∆DFG) = 34.3 square units (approx)
Hence, area of ∆DFG is option B. 34.3 square units.Line A and Line B are perpendicular. The slope of line A is -0.5. What is
the gradient of line B? Give reasons.
Answers
Answer:
Step-by-step explanation:
When 2 lines are perpendicular, their slopes are negative reciprocals of one another. Here, if the slope of A is -1/2, the slope of B is +2/1, or just 2.
Select the correct answer from each drop-down menu. one person working alone will take 30 days to paint an apartment. if d represents the number of days taken to complete the work and p represents the number of people working, the equation that represents this situation is . if 10 people work on this job, they take days to complete it.
Answers
It took 3 days to complete a work by 10 people.
What is Efficiency?
The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.
Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.
The number of days to complete the work = n days
Number of person to complete the work = p.
Now, according to question
Number of days to complete the work by 10 people = 30 / 10
= 3 days.
Thus, it took 3 days to complete a work by 10 people.
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Round to the nearest hundredth
48.849
Answers
Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x)=2^x-5
Answers
A function assigns the values. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The complete question is:
Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)
As x approaches negative infinity, h(r) approaches negative infinity.
As x approaches positive infinity, h(t) approaches 0.
As x approaches positive Infinity, h(t) approaches positive infinity.
As x approaches negative infinity, h(a) approaches positive infinity.
The graph of the function is given below, as it can be observed that as x approaches positive Infinity, h(t) approaches positive infinity.
Hence, the correct option is C.
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Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) − 5. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g vertically shifted up 5 units. B. The graph of h is the graph of g horizontally shifted left 5 units. C. The graph of h is the graph of g vertically shifted down 5 units. D. The graph of h is the graph of g horizontally shifted right 5 units.
Answers
The graph of h(x) is the graph of g vertically shifted down 5 units. Then the correct option is C.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x) − 5
h(x) = x² − 5
The graph h(x) get shifted downward by 5 units.
Then the correct option is C.
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Which of the binomials below is a factor of this trinomial? x2+12x+31
A. x+4 B.x-2 C. x+2 D. x-4
Answers
(x+4) is a factor of this trinomial given , Option A is the right answer.
What is a Factor ?A factor is a number o expression that completely divides the number or the expression and the remainder is equal to zero.
The given trinomial is
x² +12x+32
x² + 8x +4x +32
x(x+8)+4 (x+8)
(x+8)(x+4)
From the given option Option A (x+4) is the right answer.
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which wifi standards use the 2.4ghz frequency
Answers
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)What is a wifi standard?
A wifi standard defines two characteristics of the wi-fi network, which are speed and frequency.
Such that there are two common frequencies, 2.4 GHz (usually with larger speed) and 5 GHz (usually with lower speed)
The standards that use 2.4 GHz are:
IEEE 802.11bIEEE 802.11gIEEE 802.11n (it uses both 2.4 GHz and 5 GHz)IEEE 802.11ax (it uses both 2.4 GHz and 5 GHz)If you want to learn more about wifi:
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What is the value of the expression (-5)-³?
1. Apply the negative exponents rule:
2. Expand the power:
3. Simplify:
What is the value of x?
X=
1
(-5)³
1
(-5)(-5)(-5)
XII
Answers
Answer:
-125 is the correct answer
Answer:
x = -125
Explanation:
[tex]\Longrightarrow \dfrac{1}{x} = (-5)^{-3}[/tex]
Apply the negative exponent rule: a⁻ᵇ = 1/aᵇ
[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)^3}[/tex]
Expand the power:
[tex]\Longrightarrow \dfrac{1}{x} = \dfrac{1}{\left(-5\right)\left(-5\right)\left(-5\right)}[/tex]
Simplify the following:
[tex]\Longrightarrow \dfrac{1}{x} =- \dfrac{1}{\left125}[/tex]
Flip the following:
[tex]\Longrightarrow x = -125[/tex]
if AB= 51, and AC = 120. find BC.
A
B
C
Answers
Answer:
Step-by-step explanation:
AB = 51
AC = 120
BC = AC - AB
BC = 120-51
BC = 69 units
What’s the answer here? Answer ASAP please.
Answers
Answer:
6
Step-by-step explanation:
f(6) is the y-value when x = 6
From inspection of the graph, f(6) = -6
g(5) is the y-value when x = 5
From inspection of the graph, g(5) = -5
Substitute the found values into the given equation:
4 · f(6) - 6 · g(5)
= 4 · (-6) - 6 · (-5)
= -24 - (-30)
= -24 + 30
= 6
Tutorial C
A 3-yard roll of aluminum foil costs $4.14. What is the price per
foot?
Answers
Answer:
$.46 or 46 cents per foot
Step-by-step explanation:
3 yards = 4.14
1 yard is 3 feet
3 yards is 9 feet
4.14 ÷ 9 = .46
Use the fraction model to multiply: three multiplied by five sevenths. Leave your answer as an improper fraction. (1 point)
three fraction models, each model is partitioned into seven equal parts, with five parts shaded in each model
eight sevenths
eight tenths
fifteen twenty ones
fifteen sevenths
Answers
The product of three and five-sevenths is given by (D) Fifteen sevenths.
In fraction multiplication, we multiply the corresponding position like we multiply numerator with numerator and denominator with another denominator.
The denominator for a whole number is always 1.
Here given the numbers are three and five-sevenths, that is [tex]3,\frac{5}{7}[/tex].
So here since 3 is a whole number then the denominator of it is 1.
We can write 3 as [tex]\frac{3}{1}[/tex].
So product [tex]=\frac{5}{7}\times\frac{3}{1}=\frac{5\times3}{7\times1}=\frac{15}{7}[/tex]
Using the fraction model we get,
Here we can see that there are three bars with seven divisions in which fives are shaded.
So in multiplication with three we have to take the shaded region as the numerator and have to all the shaded and total bar for once.
here a total number of divisions in one bar is 7, so the denominator of the product is 7.
A total number of shaded divisions is 15, so the numerator of the product is 15.
So the product is [tex]\frac{15}{7}[/tex], that is fifteen sevenths.
Hence the correct option is (D) Fifteen sevenths.
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Angela is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. she uses the following formula to calculate voltage:
the circuit she tests has a current of 3 + j 4 amps and a resistance of 4 - j 6 ohms.
what is the voltage of the circuit?
Answers
The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts
How to multiply Vectors?We are given;
Current; I = 3 + 4j amps
Resistance; R = 4 - 6j ohms
From ohms law, we know that;
V = IR
Thus;
V = (3 + 4j) * (4 - 6j)
V = 12 + 16j - 18j - 24j²
Now, in vector notation; j² = -1. Thus;
V = 12 - 2j + 24
V = 36 - 2j Volts
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Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:
171 divided by 3.8
Jacob started by multiplying the divisor and the dividend by 10. This is the new problem:
1710 divided by 38
Use long division to find the quotient.
0.45
4.5
45
450
Answers
The answer is 45
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A school has 320 girls and 250 boys the probity that a girl is left handed 0.2 the probity that a boy is left handed is 0.1 estimate the number of left handed students
Answers
Probability helps us to know the chances of an event occurring. The estimated number of left-handed persons in the school is 89.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the number of girls is 320, the probability that a girl is left-handed is 0.2. Therefore, the number of girls who are left-handed is,
Number of left-handed girls = (320×0.2) = 64
Given the number of boys is 250, the probability that a boy is left-handed is 0.1. Therefore, the number of boys who are left-handed is,
Number of left-handed boys= (250×0.1) = 25
Hence, the estimated number of left-handed persons in the school is 89.
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if a/b and c/d are rational expressions, then: a/b / c/d = a*b/c*d
Answers
if a/b and c/d are rational expressions,a/b / c/d = a*b/c*d is false.
What is the definition of a fraction number?A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.
The given rational expression is;
a/b and c/d
Given relation;
[tex]\rm \frac{\frac{a}{b}}{\frac{c}{d}}\\\\ \frac{a d}{bc}[/tex]
When two fractions are divided the number got reversed and multiplied by the fraction.
Hence the given calculation is false.
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Answer: false
Step-by-step explanation: .
tGive the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
Answers
Answer:
a = 2
b = -3
c = -2
Step-by-step explanation:
The standard form of a quadratic equation:
ax² + bx + c = 0
…………………………
in order to determine the equation
in standard form ,we have to expand the given expression :
(2x + 1)(x - 2) = 2x² - 4x + x - 2
= 2x² - (4x - x) - 2
= 2x² - 3x - 2
Then the standard form is :
2x² - 3x - 2
Determine the measure of angle BFE 1 ) 69 degrees 2 ) 112 degrees 3 ) 11 degrees 4 ) 224 degrees
Answers
Answer:
option 2
Step-by-step explanation:
the chord- chord angle BFE is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
∠ BFE = [tex]\frac{1}{2}[/tex] ( BE + DC) = [tex]\frac{1}{2}[/tex] (72 + 152)° = [tex]\frac{1}{2}[/tex] × 224° = 112°
A bag contains 4 red, 7 blue and 5 yellow marbles. Event A is defined as drawing a yellow marble on the first draw and event B is defined as drawing a blue marble on the second draw.
If two marbles are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 7/16
B. 7/15
C. 14/16
D. 14/15
Answers
Answer:
The answer is B. 7/15!!!
i just guessed and got it right, but i knew c. wasnt the answer.
