HONORS INLY:
5. Find the measurements of the angles
marked with x, y and z.
(Isosceles triangle theorem
Answers
Answer:
x = 55°
y = 70°
z = 125°
Step-by-step explanation:
Based on the Isosceles triangle theorem, since two sides of the triangle are congruent, therefore, the angles opposite to each of the equal sides are congruent.
Thus:
x = 180° - 125° (angles on a straight line/linear pair)
x = 55°
If x = 55°, the other base angle will also be 55°.
Therefore,
y = 180° - (55° + 55°) (sum of ∆)
y = 70°.
z = x + y (exterior angle of a ∆ theorem)
z = 55° + 70° (substitution)
z = 125°
Related Questions
what is the value of the expression 4 to the power of 4? ___
Answers
Answer:
256
Step-by-step explanation:
multiply it 4time by itslef so its like
4 time 4 times 4 times 4
I think
The value of the expression 4 to the power of 4 is 256.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The expression will be solved as below:-
The given expression is 4⁴. The expression can be written as:-
4⁴ = 4 x 4 x 4 x 4
Multiply the value 4 four times to get the solution for the expression.
4⁴ = 16 x 16
4⁴ = 256
Therefore, the value of the expression 4 to the power of 4 is 256.
To know more about expression follow
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A store sells candy at $.50, $1, $1.50, $2, and $3 per kilogram. you can see that the unit price of candies that $3 buy very inversely. What is the constant of variation?
Answers
Answer:
constant of variation = 3
Step-by-step explanation:
Given that a store is selling different candies costing $.50, $1, $1.50, $2, and $3 per kilogram.
As given
Amount available to buy candies = $ 3
Suppose
Unit price of candies = x
Number of candies bough = y
Constant of variation = k
As we know the unit price of candies and number of candies bought vary inversely. As the unit price would increase the the number of candies bought in available amount ($3) would decrease.
So our formula to calculate formula for constant of variation would be as shown below:
k= xy →(1
Case 1
if we take unit price x to be $0.5, then we can buy 6 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (0.5)(6) = 3
Case 2
if we take unit price x to be $1, then we can buy 3 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (1)(3) = 3
Case 3
if we take unit price x to be $1.5, then we can buy 2 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (1.5)(2) = 3
Case 4
if we take unit price x to be $2, then we can buy 1.5 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (2)(1.5) = 3
Case 4
if we take unit price x to be $3, then we can buy 1 kg of candies in $ 3. In this case constant of variation can be found from above equation (1) as follows:
k = (3)(1) = 3
So, our constant of variation is 3.
In one particular suburb, there are 28 families that own a pug. If these owners make up 80% of all dog owners in this suburb, then how many dog owners are there in this neighborhood?
Answers
Answer:
60%
Explanation:
To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by
100%
So there are 30 people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of 50 total families. So 30 50 can be reduced to 3 5 and that gives us 0.6
When that value is multiplied by
100%, it gives us our percentage of 0.6 ⋅ 100% = 60
Triangle CDA is the image of triangle ABC after a 180 rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180 rotation around the midpoint of segment BC. Using what you know about the sum of the angles in a triangle, find the sum of the angles of quadrilateral ABED
Answers
Answer:
360
Step-by-step explanation:
how would i do this Divide. 3+5/2
Answers
the final answer is 5.5
What is the area of the rectangle?
60 units2
66 units2
70 units2
74 units2
Answers
Hiking up a mountain, you notice that the air temperature drops 10°C for every 1,000 meters increase in elevation. Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3,000 meters. Then evaluate the expression and explain its meaning.
Answers
Answer:
30,000
Step-by-step explanation:
graph the line y=3x
Answers
Answer:
[tex]X:9, 6, 3, 0, -1, -2, -3 \\ Y: 3, 2, 1, 0, -3, -6, -9[/tex]
a rectangular window has a length of 81.47 cm and a width of 34.2 CM what is the least
Answers
Step-by-step explanation:
The least price measurement mean a value with the least number of significant figures.calculate the perimeter in this case as;
Perimeter of a rectangle = 2(l+w) where l is the length and w is the width
Perimeter= 2(81.47 + 34.2)
Perimeter=2(115.67)
Perimeter=231.34
Perimeter=231.30(4 significant figures)
Louise Bourgeois obtained a $3,200 installment loan for a marble floor in her foyer. The
annual percentage rate is 9%. She must repay the loan in 24 months. Find the (a) monthly
payment using the formula, (b) total amount repaid, and (c) the finance charge.
Answers
Finley and Cooper are wanting to go to SkyZone. Finley pays $53.75 for 5 hours. How much will Cooper pay for 3 hours?
Answers
Answer:
10.75 x 3 = $32.25
Step-by-step explanation:
first, we need to figure out how much the cost is for one hour:
53.75/5 = 10.75
therefore, the cost at skyzone for 1 hour is $10.75 , BUT, we still need to figure out the time for 3 hours.
so, 10.75 x 3 = $32.25
Answer: 32.25
Step-by-step explanation:
The table below represents a linear function. Determine the missing values in the table using the function rule.
Answers
Answer: In order: 25, 15, 67.
Step-by-step explanation:
In picture
Evaluate 4p+q/p when p= -2 and q= -3
a) -11/2
b) 9/2
c) -9/2
d) 11/2
Answers
Answer:
-11/2
Step-by-step explanation:
Solve this equation for y.
3x - 5y = 12
Answers
y = - 12-3x/5 (divide both sides by -5)
y = - 3(4-x)/5 (common term is 3)
how do you find the area of the circle if the height is 1.5
Answers
Answer:
7.065
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given Height of the circle = 1.5
Height of the circle =radius of the circle
So area of the circle=πr^2
=3.14×1.5×1.5
=7.065
What is the base of the triangle if the area is 56 square meters and the height is 7 m?
A. 4 m
B. 8 m
c. 16m
D. 28 m
Answers
Answer:
the answer is b
Step-by-step explanation:
the answer is B 16 m
Identify and write the given and the prove of the following question. "Prove that if 4x+5=6, then x=3."
Answers
Answer:
x would have to be 1.5
Step by step solution:
Given: 4x + 5 = 6
Subtraction property of equality: 4x = 6
Division property of equality: x = 1.5
do the ratios form a proportion? Explain how you arrived at your answer. 9/6 and 156/104
Answers
Drag the phrases into the box to match each expression.
Answers
Answer:
theres no image
Step-by-step explanation:
-2y-5(6z-4y)-3z can anyone help me
Answers
Answer:
18y - 33z
Step-by-step explanation:
-2y-5(6z-4y)-3z
-2y-30z+20y-3z
-2y + 20y + -30z - 3z
18y - 33z
How do I factor this?
Answers
Answer:
12x(x + 1)²
General Formulas and Concepts:
Alg I
FactoringStep-by-step explanation:
Step 1: Define expression
12x³ + 24x² + 12x
Step 2: Simplify
Factor GCF: 12(x³ + 2x² + x)Factor GCF: 12x(x² + 2x + 1)Factor trinomial: 12x(x + 1)(x + 1)Rewrite: 12x(x + 1)²Use the information given to enter an equation in standard form. Slope is 7, and (2,6) is on the line.
ASAP
Answers
Answer:
7x - y = 8
Step-by-step explanation:
y - 6 = 7( x - 2 )
y = 7x - 8
7x - y = 8
Identify the angles that each have a measure of 88°.
Answers
Answer:
vdnchdbcdbchdbnhdbnhvbdjvjdsvhdfnjvdjvjdv
Step-by-step explanation:
8 is it’s corresponding angle. 1 is vertical to it and 3 corresponds with 1
Determine the type and number of solutions of 3x2 + 6x + 4 = 0.
Answers
3x2 + 6x + 4 = 0
This is a quadratic equation in one variable and has two solutions.
1. Estimate the product. Solve using the standard algorithm. Use the thought bubbles to
show your thinking.
2.42 x 12 =
Answers
Answer:
The estimation of 2.42 x 12 is 24
Step-by-step explanation:
First, write out the problem,
2.42 x 12
Then simplify each whole number to the nearest tenth,
2.40 x 10
Finally, multiply and you have the answer
24.00
Answer:
29.04
242*12=2904 (show work using standard algo.)
Two numbers after the decimal with give you 29.04
Aaand that's your answer!
what is 20% of 60 in decimal example
Answers
Answer: 12
Step-by-step explanation: .2 * 60 = 12
Answer: 0.33333 (Rounded to fifth decimal place)
Step-by-step explanation:
57.8 divided by 81, estimate quotient
Answers
Answer:
0.71358024691 But really you can say .7
2 T shirts
and 3 hats costs 12 pounds
5 T shirts and 4 hats cost 23 pound
Find the cost of a hat
Find the Cost
a T-shirt
Answers
Describe the translation of point
P(-6,2) to point P(-10,5) using coordination notation
Answers
Answer:
we can go over this ok
Step-by-step explanation:
Answer:
Answer
Step-by-step explanation:
4. The binomial 12x+15 is equivalent to
(1) 2(6x +15)
(3) 6(6x+9)
(2) 5(12x+3)
(4) 3(4x+5)
