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Semmy [17]
3 years ago
11

Find the measure of angle Z.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0

<u>Answer:</u>

Angle Z = 117°

<u>Step-by-step explanation:</u>

We are given a figure with a triangle with two known angles and one unknown angle. That unknown angle further extends to form a straight line and we are to find that exterior angle z.

We know that the sum of all three angles of a triangle is 180°. So the third unknown angle of the given triangle will be = 180 - (45 + 72) = 63°.

We also know that angles on one side of a straight line always add to 180°.

Therefore, angle z = 180 - 63 = 117°.

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Rewrite the expression as the sum of two numbers 7(2 + 5)
sweet [91]

Answer:

c is the answer

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need answers for 4 and 6
mafiozo [28]
Hello! I can help you with this!

4.
a. $100
b. $360

The formula to find the answers to these kinds of problems is p * r * t. The rate is always a decimal, so if the rate is 8%, you multiply by 0.08. If the rate is 12%, you multiply by 0.12, and so on.

5.
a. 12.8
b. 31 1/6

I got these answers by doing the distributive property. Replace each variable with the number it represents, multiply each by two and add them up to get these answers. For the fraction one, you can set up each fraction by finding the LCD before multiplying by 2, or you can find a fraction calculator online and add the numbers up.

6.
a. x = 20
b. x = 3
c. x = 13
d. x = 0
e. x = 4
f. x = 7
g. x = -3

I solved this problem by doing the distributive property and doing these kinds of problems step by step. It’s long to explain, but hopefully your teacher has good notes for you to look back on over these types of questions. If there is only a negative sign in front of the distributive property equation, then you basically distribute -1 to each number. In these long equations, combine like terms. You must do these kinds of questions right, because it’s easy to mess up and get wrong answers if you don’t do the right steps in order.
6 0
2 years ago
One week a company filled 546 boxes with widgets each box held 38 widgets how many widgets did the company pack in boxes that we
Romashka [77]

Answer:

20748

Step-by-step explanation:

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5 0
2 years ago
The Cooper family, consisting of 6 children and 2 adults, goes to the movies and pays a total of $86. The Griffen birthday party
Oksanka [162]

Answer: The cost of child's ticket = $10

The cost of adult ticket = $ 13

Step-by-step explanation:

Let x be the cost of a child ticket and y be the cost of an adult ticket.

Then According to the question, we have

6x+2y=86..........................(1)\\\\10x+3y=139.......................(2)

Multiply equation (1) by 3 and equation (2) by 2, then we have

18x+6y=258.......................(1)\\\\20x+6y=278...........................(2)

Subtract equation (1) from equation (2), we have

2x=20\\\\\Rightarrow\ x=10

Substitute the value of x in equation (1), we get

60+2y=86\\\\\Rightarrow\ 2y=26\\\\\Rightarrow\ y=13

Hence, the cost of child's ticket = $10

The cost of adult ticket = $ 13

4 0
2 years ago
Given ΔADC and ΔAEB, What is AE?
AysviL [449]

Answer:

As shown in picture,

EB is perpendicular with AC

DC is perpendicular with AC

=> EB // DC

Applying Thales theorem:

BC/AC = ED/AD

=> AD = ED x AC/BC = 72 x 88/55 = 115.2

=> AE = AD - ED = 115.2 - 72 = 43.2

Hope this helps!

:)

5 0
2 years ago
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