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wariber [46]
2 years ago
9

A 90° angle is divided into 2 angles.

Mathematics
1 answer:
Lemur [1.5K]2 years ago
8 0

Answer:

this angle's sum is 90°

(3x+40)°+(4x-6)=90°

7x+34=90°

7x=90-34

7x=56

x=56/7

x=8

3x+40 = 3×8+40 = 64°

4x-6 = 4×8-6 = 26°

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Find the perimeter of the polygon. Round your answer to the nearest tenth.
lubasha [3.4K]

Answer:

Perimeter is 38.8 units and approximately 39 units

Step-by-step explanation:

Given: Graph

To find: perimeter of the polygon

Solution:

Distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

As per the graph,

point P is (-2,11)

point Q is (-4,6)

point R is (2,0)

point S is (1,7)

point T is (8,7)

PQ=\sqrt{(-4+2)^2+(6-11)^2}=\sqrt{(-2)^2+(-5)^2}=\sqrt{29}=5.4\,\,units\\QR=\sqrt{(2+4)^2+(0-6)^2}=\sqrt{(6)^2+(-6)^2}=\sqrt{72}=8.5\,\,units\\RS=\sqrt{(1-2)^2+(7-0)^2}=\sqrt{(-1)^2+(7)^2}=\sqrt{50}=7.1\,\,units\\ST=\sqrt{(8-1)^2+(7-7)^2}=\sqrt{(7)^2+(0)^2}=\sqrt{49}=7\,\,units\\PT=\sqrt{(8+2)^2+(7-11)^2}=\sqrt{(10)^2+(-4)^2}=\sqrt{116}=10.8\,\,units

Perimeter refers to sum of lengths of all the sides.

Perimeter = 5.4+8.5+7.1+7+10.8=38.8

Or approximately 39 units

3 0
3 years ago
What is 5/7 equivalent to
Lina20 [59]
If you're looking for the decimal it is

0.71428571428
4 0
3 years ago
Read 2 more answers
What is the present value of an investment that will be worth $6000 at the end of five years? Assume an APR of 6% compounded mon
musickatia [10]

Answer:

4448.23

Step-by-step explanation:

AV=PV(1+\frac{i}{n})^{nt}\\\\6000=PV(1+\frac{.06}{12})^{5*12}\\\\6000=PV*1.3488\\\\PV= 4448.23

4 0
3 years ago
When x = 2, y = 50 and when x = 4, y = 100. Which direct variation equation can be used to model this function?
Karolina [17]
Well, let's first write these as points.

( 2 , 50 )

( 4 , 100 )

We can see that when "x" is reduced by 2, "y" is reduced by 50. This means that if we reduce "x" by 1, "y" will be reduced by 25. Thus, we can say that if "x" is 1, "y" will be 25.

( 1 , 25 )

What we know that 25 * 1 = 25, and that 2 * 25 = 50. We can see that multiplying "x" by 25 will give us our "y". We can now write this as an equation.

y = 25x
3 0
4 years ago
This is my question. If Andy drove 840 miles in 12 hours. How far could he drive in hours? Help me?
stellarik [79]

Answer:

840mi. - 12 hrs

  x       -  3 hrs

This is a simple cross multiplying problem.

840 _ 12

 x   --  3    ⇒12x=3(840) ⇒ 4x=280 ⇒ x=70 miles

:D

Step-by-step explanation:

7 0
3 years ago
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