3 years ago

In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°. What is the measure of ∠3? 21° 60° 120° 159°

1 answer:

4 0

M<2 = m<3
but
m<1 + m<2 = 180
4x + 36 + 3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21

m<2 = 3x – 3
m<2 = 3(21) - 3
m<2 = 63 - 3
m< 2 = 60

m<3 = m<2 = 60

answer
60°

You might be interested in

The shape on the left is transformed to the shape on the right. Figure A B C D is rotated to form figure A prime B prime C prime

kotegsom [21]

Answer:

Step-by-step explanation:

I did the test and it is the only one that makes sense

7 0

2 years ago

Read 2 more answers

There are 205 coins in a jar all of which are either nickles or quarters . The vaule of the coin in the jar is $31.85. if both o

Gnesinka [82]

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205 ...(i)

0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637 ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

$108+x=205\Rightarrow\ x= 97$

Hence, there are 97 nickels and 108 quarters.

6 0

3 years ago

How are gallons and fluid ounces related

Leno4ka [110]

They are both liquid measurements

6 0

3 years ago

What is the value of k when the expression 3(7 + x) is equivalent 3(x + k)

Free_Kalibri [48]

Answer:7

Step-by-step explanation:

8 0

2 years ago

6. RVHS sold 143 Adult and Student tickets to the

slava [35]

Answer:

57 adult tickets, 86 student tickets

7 0

2 years ago