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erastova [34]
3 years ago
14

What theorem tells you that ∠EXF ≅ ∠EXD?

Mathematics
1 answer:
Viktor [21]3 years ago
3 0

Answer:

ASA theorem tells us angle EXF congruent to angle EXD

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Are f and g inverses of each other? Support your response algebraically
NeTakaya

Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are the inverses of each other, then

f(g(x)) = g(f(x)) = x

f(g(x)) = f(x - \frac{1}{2}) = x - \frac{1}{2} + \frac{1}{2} = x

g(f(x)) = g(x + \frac{1}{2}) = x + \frac{1}{2} - \frac{1}{2} = x

Hence f(x) and g(x) are the inverse of each other


4 0
3 years ago
Through: (-5, -3), perp. to y=-9/4x-5
Mrrafil [7]

Given:

A line passes through (-5,-3) and perpendicular to y=-\dfrac{9}{4}x-5.

To find:

The equation of the line.

Solution:

We have,

y=-\dfrac{9}{4}x-5

On comparing this equation with slope intercept form, i.e., y=mx+b, we get

m_2=-\dfrac{9}{4}

It means, slope of this line is -\dfrac{9}{4}.

Product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

m_1 \times \left(-\dfrac{9}{4}\right)=-1

m_1=\dfrac{4}{9}

Slope of required line is \dfrac{4}{9} and it passes through the point (-5,-3). So, the equation of the line is

y-y_1=m(x-x_1)

where, m is slope.

y-(-3)=\dfrac{4}{9}(x-(-5))

y+3=\dfrac{4}{9}(x+5)

9(y+3)=4(x+5)

9y+27=4x+20

27-20=4x-9y

7=4x-9y

Therefore, the equation of required line is 4x-9y=7.

8 0
3 years ago
Please answer this correctly
Eva8 [605]

Answer:

Surface Area is 56π cm²

Step-by-step explanation:

The area for a cylinder's surface area is

a=2πrh+2πr²

The cylinder base's radius is 4 cm

The cylinder's height is 3 cm

Putting into the equation:

a=2×π×4×3+2×π×4²

a=2π×4×3+2×π×4²

a=8π×3+2×π×4²

a=24π+2×π×4²

a=24π+2×π×16

a=24π+2π×16

a=24π+32π

a=56π

The surface area of the cylinder is 56π cm².

5 0
3 years ago
Let $x$ and $y$ be real numbers such that
Tresset [83]

Answer:

we needa get some money!

Step-by-step explanation:

6 0
3 years ago
What is the ratio of 120%
Helga [31]

Answer:

5: 6

Step-by-step explanation:

becuase it was basically 100:120 but divide it by 20 and thats  how you get 5;6

7 0
3 years ago
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