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irga5000 [103]
3 years ago
10

Find the measure of angle C.

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0
So you have to find x first
5x+9=7x+3
If you solve, you get x=2
Plus that into an equation, and you get 19
You have to do 19*2 because 19 is only half of the angle
angles A and C are congruent, so C=38 degrees

hope this helps!!
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Water evaporates from a pond at a rate of 0.05 inches per hour. What is the change in inches in the water level of
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1.2 inches of water is evaporated
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An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.
lawyer [7]

Answer:

7.5cm²

Complete question:What is the surface area of the 8-sided figure?

Step-by-step explanation:

Consider the half of the 8-sided die i.e the pyramid ABCDE:

As the base is 6 of the perimeter, so each side of the base is 6/4=3/2

Now, the distance between the tallest points is 2 cm, so the height of Pyramid ABCDE is 1 cm.

Considering the right triangle EOM:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is 

\sqrt{1+ ( \frac{3}{4} )^{2} }=  \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4}   (cm)

5. So side EBC has area  

\frac{1}{2}BC*EM=  \frac{1}{2}* \frac{3}{2}* \frac{5}{4}= \frac{15}{16}

6. The total area is 8*Area(EBC)=8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )

3 0
3 years ago
Which ordered pair is in Quadrant III?
Scilla [17]
(-2,-3) 
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II. (-,+)
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4 0
3 years ago
What is the first step to solve the following system of equations using substitution?
Akimi4 [234]

Answer:

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

Thus, option A) is true.

The solution to the system of equations be:

x = 4, y = 5

Step-by-step explanation:

It is important to remember that when we solve the system of equations, the first step we need to do is to solve one of the equations for one of the variables.

Given the system of equations

x - y = -1

2x - y = 3

Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for x

x-y=-1

Add y to both sides

x-y+y=-1+y

x=-1+y

Thus, option A) is true.

<u>NOW LET US SOLVE THE REMAINING PORTION</u>

\mathrm{Subsititute\:}x=-1+y to solve for y

\begin{bmatrix}2\left(-1+y\right)-y=3\end{bmatrix}

-2+y=3

y=5

For x = -1 + y

substitute y = 5

x=-1+5

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Thus, the solution to the system of equations be:

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3 0
3 years ago
Find the degree measure of each angle in the triangle.
Alex777 [14]

Answer:

  • ∠R = 56°
  • ∠Q = 90°
  • ∠S = 34°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

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Solving according to <u>angle sum property</u>,

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\longrightarrow 90° + (2x + 38)° + (5x - 11)° = 180°

\longrightarrow 117° + 7x = 180°

\longrightarrow 7x = 180° - 117°

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\longrightarrow x = 9

Angles =

\longrightarrow 2(9) + 38

\longrightarrow 56°

\longrightarrow 5(9) - 11

\longrightarrow 34°

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  • ∠Q = 90°
  • ∠S = 34°

The angles are 56°, 90° and 34°.

4 0
3 years ago
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