Answer:
30
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
If the lengths of a and b are equal, the degrees of the angles should also be equal.
Triangle A B C is reflected and then dilated to form smaller triangle A double-prime B double-prime C double-prime Which transformations could have occurred to map △ABC to △A"B"C"? a rotation and a dilation a rotation and a reflection a reflection and a dilation a translation and a dilation
Answer:
a reflection and a dilation
Step-by-step explanation:
in the wording, it was stated that the triangle was reflected then dilated.
The correct answer is translation and a dilation
What are the various types of transformation?There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.
How to solve this problem?The steps are as follow:
Given Δ A"B"C" is smaller than Δ ABCWhich means that sides of ΔABC are dilated i.e compressed to give the sides of Δ A"B"C"Also , Δ A"B"C" is at right to ΔABC which means that ΔABC was translated i.e shifted to give ΔA"B"C"So the correct answer will be translation and a dilation
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let g(x) = 2x and h(x) = x^2 + 4. Find the value. (hog)(-2)
Answer:
Step-by-step explanation:
(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].
This is, you first calculate g(-5) and then h [ g (-5) ].
So, g ( -5) = 2 * ( - 5) = - 10
And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.
PLEASE HELP ME I GIVE BRANLYIEST
A school surveyed students, asking whether they are right-handed or left-handed. This table provides data from the survey.
Right-Handed Left-Handed
Boys 108 23
Girls 99 16
Fill the tables with the relative frequencies. If necessary, round your answers to the nearest hundredth.
Answer:
[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]
[tex].18+.82=1[/tex]
[tex].14+.86=1[/tex]
[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]
[tex].41+.59=1[/tex]
[tex].48+.52=1[/tex]
[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]
Step by Step:
Step which two decimals added together equal 1?
0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18
[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]
Now solve for the rows in the first table
[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]
so there is the first row for boys in the first table
Now solve for the second rows in the first table
[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]
so there is the second row for girls in the first table
Now we do pretty much the same for table 2 just it's columns instead of rows
[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]
So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.
[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]
So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.
Hope this makes sense and helps!!!
Answer:
first box= boys= .82, .18 girls= .86, 14
second box= boys= .52 .59 girls= .48 .41
Step-by-step explanation:
i did the test
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),
(-2,4), (5,4) and (5,-3). Find the perimeter in yards and the area in square yards of the floor.
Answer:
Perimeter = 28 yards
Area = 49 square yards.
Step-by-step explanation:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).
Using distance formula, we get
[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]
Similarly,
[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]
[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]
[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]
It is conclude that, [tex]AB=BC=CD=AD[/tex].
From the given points it is clear that all sides lie on either vertical or horizontal lines.
Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.
Perimeter of square floor is
[tex]P=4a=4(7)=28\text{ yards}[/tex]
Area of square floor is
[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]
Therefore, the perimeter is 28 yards and the area is 49 square yards.
Indicate the method you would use to prove the two triangles congruent. If no method applies, enter "none."
SSS
SAS
ASA
AAS
None
Answer:
SSS Theorem
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
They share a side so that's the third side that's the same
Workout the value of the largest angle
Step-by-step explanation:
These angles all add up to 360° because they form a circle, so b + b + 2b + 5b = 360°, and b = 40°. The largest angle is 5b which is 5 * 40 = 200°.
Answer:
200
Step-by-step explanation:
The sum of the angles is 360 degrees
5b+ b+b+2b = 360
Combine like terms
9b = 360
Divide each side by 9
9b/9 = 360 /9
b = 40
The largest angle is 5b
5*40
200
In the Metric System: As you move from a smaller unit to a larger unit, the number of larger units required will be LESS. Therefore the decimal point will always move to the LEFT when you want to make a number smaller because the unit is larger. is it true or false?
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Did it on edge2020
I need some help quick on these questions.
5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answer:
if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316
Step-by-step explanation:
most teachers say but off is thousandths be careful look what it’s asking for exactly
3. At Windy Pines Summer Camp, there are 255 campers
and 30 counselors. Express the ratio of counselors to
campers as a fraction in simplest form. Explain its
meaning.
Answer:
15:2; there are 2 counselors to every 15 campers
Step-by-step explanation:
You drive 1650 miles at 50 mph; how long will it take?
Answer:
33 hours
Step-by-step explanation:
Take the distance and divide by the rate to get the time
1650/50 = the number of hours
33 hours
Answer:
33 hours
Step-by-step explanation:
mph stands for miles per hour
So, 1650/50=33, which finds how long in hours
So, if your speeds stays constant it should take 33 hours
The area of a triangle is 17.5 square meters. The height of the triangle is 3 meters less than twice its base. The base of the triangle is x meters. Complete the equation that represents this description and fill in the values for the base and height of the triangle. The equation modeling the described triangle is x2 + x + = 0. The base of the triangle is meters. The height of the triangle is meters.
Answer:
A = ½ * base * height
A = ½ * x * (2x-3)
17.5 = ½ * (2x² - 3x)
35 = 2x² - 3x
0 = 2x² - 3x - 35
2x² - 3x - 35 = 0 .......... (the equation)
(2x + 7)(x - 5) = 0
2x + 7 = 0
2x = - 7
x = -7/2 = -3.5
x-5 = 0
x = 5
since we have two result of x, then we can choose the positive one x = 5
so the base is 5 m and the height is
h = (2x - 3) = 2*5 - 3 = 10-3 = 7 m
The second group of trainee astronauts are all sitting around the table, waiting to start their first day of training.
From the clues given below, can work out where everyone sits?
Note: Seat 1 is next to Seat 2 and Seat 8, etc. Seat 5 is across from Seat 1, and Seat 7 is across from Seat 3, etc. Seat 2 is a higher seat number that Seat 1, etc.
Puzzle Table
1. Harvey has a higher seat number than Jennie.
2. Peter is across from Harvey.
3. Neither Joyce nor Lia is in seat 8.
4. Rick is across from Kenny, and Rick is also next to Joyce.
5. Lia is next to Kenny.
6. Jennie is at Seat 4 and next to Harvey.
7. Peter is next to Lia.
8. Mark has the remaining seat.
Answer:
Seat 1: PeterSeat 2: LiaSeat 3: KennySeat 4: JennieSeat 5: HarveySeat 6: JoyceSeat 7: RickSeat 8: MarkStep-by-step explanation:
From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)
Seat 4: JennieSeat 5: HarveyFrom Rule 2: Peter is across from Harvey.
Since Seat 5 is across from Seat 1
Seat 1: PeterFrom Rule 7: Peter is next to Lia.
Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.
Seat 2: LiaBy Rule 5: Lia is next to Kenny, therefore:
Seat 3: KennyFrom Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.
Seat 7 is across from Seat 3, therefore:
Seat 7: RickSince Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)
Seat 6: JoyceTherefore, we have:
Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Since Mark has the remaining seat, Mark is on Seat 8.
Help I will mark brainliest
Answer:
The size of angle PQR is 150°
Step-by-step explanation:
Lets explain how to solve the problem
- A polygon is regular when all its angles are equal and all its sides
are equal
- The measure of each interior angle an any regular polygon
= , where n is the number of its angles or its sides
∵ PQ and QR are two sides of a regular 12 sided polygon
∴ Q is one of its vertex
- We need to find the size of angle PQR
∵ Angle PQR is an interior angle in the regular 12 sided polygon
∴ n = 12
Use the rule above to find the size of the angle PQR
∵ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of angle PQR = 150°
* The size of angle PQR is 150°
if f(x)=x^2 and g(x)=1/2x+3 find g(f(-1))
Answer:
1/5
Step-by-step explanation:
F(x)=x^2
g(x)=1/(2x+3)
g(f(-1))=?
x=-1→f(-1)=(-1)^2→f(-1)=1
g(f(-1))=g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5
The shape has an area of 60 square inches. Find the value of x.
Answer:
12 inches
Step-by-step explanation:
A=0.5bh
A=0.5xh
60=0.5*10*x
60=5x
5x=60
x=12
What is the measure of 0?
Answer:
C. 4
Step-by-step explanation:
arc length = radius*θ ,
where θ is an angle in radians.
12 = 3*θ
θ = 12/3 = 4
An animal shelter relies on
donations and adoption fees of
$75 per pet to pay its monthly
expenses of $2800. One month 12
pets are adopted. Which inequality
describes the donations, x,
required for the shelter?
Answer:
Step-by-step explanation:
x ≥ 2800
12*75=900
900< x
I need help on my algebra. :)
Answer:
Option B
Step-by-step explanation:
Consider the steps below;
[tex]3x - 4y = 25,\\3x + 2y = 1\\\\3x - 4y = 25,\\+ ( - 3x - 2y = - 1 )\\\\- 6y = 24,\\y = - 4\\\\3x - 4y = 25,\\3x - 4 * ( - 4 ) = 25,\\3x + 16 = 25,\\3x = 9,\\x = 3\\\\Solution, x = 3, y = - 4[/tex]
To solve this system of equations, I applied process of elimination, which I thought was most convenient. Multiplying the bottom equation by - 1, I added both equations to cancel out the x's and solved for the value of y. Substituting this value of y into the top equation, I solved for the value of x;
Solution ⇒ Option B
What is the distance between the coordinates (-6,5) and (-3, 2)? Round your
answer to the nearest tenth.
Answer:
The distance between the points is approximately 4.2 units.
Step-by-step explanation:
Use the distance formula. To calculate the distance between point (x1, y1) and (y1, y2), use the following formula:
[tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]
[tex]\sqrt{(-3--6)^{2} + (2-5)^{2} }[/tex]
[tex]\sqrt{3^{2} + -3^{2} }[/tex]
[tex]\sqrt{9 + 9}[/tex]
[tex]\sqrt{18}[/tex]
≈ 4.2 units
Hope this helps :) Feel free to ask me any questions!
Simplify. PLEASE HELP
Answer:
0
Step-by-step explanation:
we can use difference of squares to factor the equation into (x+y)(x-y)/(x-y)
The (x-y) cancel out so the fraction becomes (x+y)
The two (x+y) also cancel out so it becomes 0
Answer:
0
Step-by-step explanation:
[tex]x+y-\dfrac{x^2-y^2}{x-y}= \\\\\\x+y-\dfrac{(x+y)(x-y)}{x-y}= \\\\\\x+y-(x+y)= \\\\\\\boxed{0}[/tex]
Hope this helps!
Simplify ^4 sqrt 16x^8y^12z^4
Answer:
Step-by-step explanation:
[tex]y^{4}\sqrt{16x^{8}y^{12}z^{4}}=y^{4}\sqrt{4*4*x^{4*2}y^{6*2}z^{2*2}}\\\\ =y^{4}\sqrt{4^{2}*(x^{4})^{2}*(y^{6})^{2}*(z^{2})^{2}}\\\\=y^{4}*4*x^{4}*y^{6}*z^{2}\\\\=4x^{4}y^{4+6}z^{2}\\\\\\=4x^{4}y^{10}z^{2}[/tex]
Examine these figures. Triangle A B C. Angle C is 108 degrees and angle B is 34 degrees. 2 lines extend from a horizontal line to form angles with measures 38 degrees, 108 degrees, and labeled 2. Choose the statement that is not true based on these diagrams. 38° + m∠2 + 108° = 180° m∠A + 108° + 34° = 180° m∠A = m∠2 m∠2 = 34°
Answer:Choose the statement that is not true based on these diagrams. answer= m∠A = m∠2
The statement that is not true based on these diagrams will be;
⇒ m ∠A = m∠2
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Now,
Since, In Triangle ABC,
⇒ Angle C is 108 degrees and angle B is 34 degrees.
Hence, We get;
⇒ m ∠A + m ∠B + m ∠C = 180°
Substitute all the values, we get;
⇒ m ∠A + 34° + 108° = 180°
⇒ m ∠A + 142° = 180°
⇒ m ∠A = 180° - 142°
⇒ m ∠A = 38°
Thus, The incorrect statement is,
⇒ m ∠A = m∠2
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Find the area of the kite.
Answer:
30 m
Step-by-step explanation:
We use the area of a kite which is diagonal 1 multiply it by diagonal 2 then divide by two
What is the value of x? Enter your answer in the box.
D = -3/2
-D = ?
What does -D equal?
Answer:
Negative
Step-by-step explanation:
D has the exact same value but
this time it the other way so your answer
should be -D = 3/2
16
h(x)=−(x−2)
2
+16
Answer: -24
Step-by-step explanation:
there are 18 animals in a pet store some are birds and others are dogs. there are 50 legs in total. how many dogs are there
Answer:
I believe the answer will be 36 for the dog legs.
Step-by-step explanation:
first you get a calculator
then you type in 18 divided by 50
then you hit enter
then the answer will come up as 0.36
CAN SOMEONE PLEASE EXPLAIN THIS, I DONT NEED THE ANSWER ONLY EXPLANATION!!!!! HELP FASTTTTT THE ANSWER IS HEAT WAS ADDED
Answer:
C
Step-by-step explanation:
The substance in the second beaker must have lost heat for it to solidify
Answer:
Step-by-step explanation:
The thermometer’s temp could have made the liquid to chemically react?
HELP ASAP!!!! There is a clip below.
Answer:
eqn : 9 x 9 x h = 1620
h = 1620 / 81 = 20
Step-by-step explanation: