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3 years ago

What is the measure of angle x?

Mathematics

2 answers:

Elden [556K]3 years ago

7 0

Answer:

Step-by-step explanation:

So here angle x is equal to the angle between 90° and 47° ( Vertically Opposite Angles are Equal.

So, if we use algebra

$90 + x + 47 = 180 \\ 137 + x = 180 \\ x =180 - 137 \\ x = 43$

So the the missing angle is equal to 43

Lostsunrise [7]3 years ago

5 0

Answer:

47+47+90+90= 274, 360-274= 86, 86÷2=43=x

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Factor each expression: 2x + 12

mr Goodwill [35]

$2x + 12 \\ \\ GCF = 2 \\ \\ 2( \frac{2x}{2} + \frac{12}{2} ) \\ \\ 2(x + 6) \\ \\$

The final result is: 2(x + 6).

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2 years ago

What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?

maxonik [38]

we have

$f(x)=-(x+8)(x-14)$

Convert to vertex form

$f(x)=-(x+8)(x-14)\\f(x)=-( x^{2}-14x+8x-112) \\f(x)=-( x^{2}-6x-112)\\f(x)=-x^{2}+6x+112$

we know that

the equation of a vertical parabola in vertex form is equal to

$y=a(x-h)^{2} +k$

where

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$f(x)=-x^{2}+6x+112$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-112=-(x^{2}-6x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-112-9=-(x^{2}-6x+9)$

$f(x)-121=-(x^{2}-6x+9)$

Rewrite as perfect squares

$f(x)-121=-(x-3)^{2}$

$f(x)=-(x-3)^{2}+121$

the vertex is the point $(3,121)$

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<u>the answer is </u>

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3 years ago

Whats the radius of a sphere if its volume is 1928pi

mojhsa [17]

Answer:

Cube root of 1446

Step-by-step explanation:

The formula for the volume of a sphere is $\frac{4}{3} \pi r^3$ . Therefore, if we divide 1928pi by 4/3pi and then take the cube root, you will find the radius. In this case, 1928pi/(4pi/3)=1446, meaning that the radius is the cube root of 1446. Hope this helps!

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3 years ago

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3 years ago

A circular swimming pool has a radius of 28 ft. There is a path all the way around the pool that is 4 ft wide. A fence is going

AleksAgata [21]

Answer:

200.96 feet

Step-by-step explanation:

We have a pool with a radius of 28 feet.

They also tell us that there is a path around the pool and its width is 4 feet.

Thus:

The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.

= (28 + 4) feet

= 32 feet

To find the length of the fence, we need to find the circumference of the outside of the pool path. The radius is then equal to 32 feet.

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3 years ago

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