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svlad2 [7]
3 years ago
9

Two supplementary angles have measurements of (3x)° and (10x – 15)°. What are the measures of the

Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Sorry for the way it came out but the Answer:

2

x

+

5

=

43

∘

3

x

−

10

=

47

∘

Explanation:

A complementary angles means angles that add up to

90

degrees. The two angles given in the question are complementary angles.

So

Our first angle

(

2

x

+

5

)

plus the second angle

(

3

x

−

10

)

is equal to

90

degrees

(

2

x

+

5

)

+

(

3

x

−

10

)

=

90

Now we solve for

x

, first we add up the like terms

2

x

+

3

x

+

5

−

10

=

90

5

x

−

5

=

90

Add

5

to both sides

5

x

=

95

Divide both sides by

5

we get

x

=

19

Now and after we find

x

we substitute it to get our two angles

2

x

+

5

=

2

(

19

)

+

5

=

43

∘

3

x

−

10

=

3

(

19

)

−

10

=

47

∘

Hope it helps :)

Step-by-step explanation:

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How do you solve this?
Novay_Z [31]

Let's solve your equation step-by-step.


−7x=−2x2+15


Step 1: Subtract -2x^2+15 from both sides.


−7x−(−2x2+15)=−2x2+15−(−2x2+15)


2x2−7x−15=0


Step 2: Factor left side of equation.


(2x+3)(x−5)=0


Step 3: Set factors equal to 0.


2x+3=0 or x−5=0


x=  \frac{-3}{2} or x=5

Answer:


x=    \frac{-3}{2} or x=5


Hope this helps

7 0
3 years ago
Find the surface area of the pyramid.
zaharov [31]
You would Mylutilpy 14x16
8 0
3 years ago
Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood. How much wood did it take to
Tema [17]

Answer:

144 squared ft

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

  • height - 3
  • length - 11
  • width - 4
  • slant height - 5

As we know that, the ramp is a triangular Prism, so to find how much wood did it take to cover the ramp we need to find the total surface area of the triangular prism

1/ The area of the central rectangle

A = lw = 11*4 = 44 squared ft

2/ The area of the rectangle to the left

A = hw = 3*4 =12 squared ft

3/ The area of the rectangle to the right

A = slant height* length = 5*11 = 55 squared ft

4/ The area of the two triangles

A = 2 (1/2*h*l) = h*w = 3*11 = 33 squared ft

=> the total surface area of the ramp is: 44 + 12 + 55 + 33 = 144 squared ft

Hope it will find you well.

6 0
3 years ago
Evaluate 1/5y + 4/15 when y = 1/3
s344n2d4d5 [400]

Answer:

= \frac{2}{3}

Step-by-step explanation:

First, plug-in y for 1/3 since y = 1/3

\frac{1}{5} (\frac{1}{3} ) + \frac{4}{15}

then multiply first according to the order of operations, then do the addition:

\frac{1}{5} * \frac{1}{3} =\frac{1}{15}

\frac{1}{15} + \frac{4}{15} = \frac{5}{15}

then reduce:

\frac{5}{15}   \to \frac{2}{3}

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