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3 years ago

Given: a and c are vertical angles prove: a =~ cl

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

Answer:

See the answer below.

Step-by-step explanation:

∠ a and ∠c are vertical angles Given

∠a + ∠d = 180 Definition of linear pairs or straight angles

∠d + ∠c = 180 Definition of linear pairs or straight angles

∠a + ∠d = ∠d + ∠c Substitution

∠a = ∠c Subtraction

Therefore ∠a ≅ ∠c Definition of congruent

Note:

Now you know that if you have a pair of vertical angles then the angles are congruent

jeyben [28]3 years ago

5 0

Answer:

what do i have to answer?

Step-by-step explanation:

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Does any body know the answer??

Mashcka [7]

Angle V is 40. Angle V and Y are congruent. The angles of a triangle are a sum of 180. Angle V and Angle Y add up to 80. Therefore angle VWZ is 100

8 0

3 years ago

Help asap!!!!!!!!!! Properties of exponents Simplify

maksim [4K]

Answer:

C) $4a^{6}b$

Step-by-step explanation:

$\frac{(4b^{3} 3a^{4}b^{2})}{3a^{-2} b^{4}}$ Copy the original equation

$\frac{12a^{6}b^{5}}{3b^{4} }$ Combine like terms

$\frac{12a^{6}b}{3}$ Simplify the b, then divide by 3

$4a^{6}b$

If this answer is correct, please make me Brainliest!

4 0

4 years ago

Consider the function f(x)= 2/5x-4

Gre4nikov [31]

Answer: a) $\frac{5}{2}x+10=f^{-1}(x)=g(x)$

Step-by-step explanation:

Since we have given that

$f(x)=\frac{2}{5}x-4$

a.) Find the inverse of f(x) and name it g(x).

Let f(x) = y

So, it becomes

$y=\frac{2}{5}x-4$

Switching x to y , we get

$x=\frac{2}{5}y-4$

$5x=2y-20\\\\5x+20=2y\\\\\frac{5x+20}{2}=y\\\\\frac{5}{2}x+10=y\\\\\frac{5}{2}x+10=f^{-1}(x)=g(x)$

b) . Use composition to show that f(x) and g(x) are inverses of each other.

$\mathrm{For}\:f=\frac{2}{5}x-4\:\\\\\mathrm{substitute}\:x\:\mathrm{with}\:g\left(x\right)=\frac{5}{2}x+10\\\\=\frac{2}{5}\left(\frac{5}{2}x+10\right)-4\\\\=x$

Similarly,

$\mathrm{g\left(x\right)=\frac{5}{2}x+10,\:f\left(x\right)=\frac{2}{5}x-4,\:g\left(x\right)\circ \:f\left(x\right)}\\\\\mathrm{For}\:g=\frac{5}{2}x+10\:\mathrm{substitute}\:x\:\mathrm{with}\:f\left(x\right)=\frac{2}{5}x-4\\\\=\frac{5}{2}\left(\frac{2}{5}x-4\right)+10\\\\=x$

so, both are inverses of each other.

c) Draw the graphs of f(x) and g(x) on the same coordinate plane.

As shown below in the graph , Since for inverse function we need an axis of symmetry i.e. y=x

And both f(x) and g(x) are symmetry to y=x.

∴ f(x) and g(x) are inverses of each other.

5 0

4 years ago

Can you show me the answer?

MatroZZZ [7]

Answer:

I can't even see the picture. I'm sorry.

Step-by-step explanation:

7 0

3 years ago

4x-2+4=4x-1-1 Please help!

Vladimir [108]

Answer:

There are no solutions

Step-by-step explanation:

4 0

3 years ago