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3 years ago

Given: Point C is the midpoint of AB¯¯¯¯¯.

Mathematics

1 answer:

suter [353]3 years ago

3 0

Answer:

See proof below

Step-by-step explanation:

If C is the midpoint of AB, then AC = CB

Given

AC=7x−10;

CB=3x+10

Then 7x - 10= 3x+10

Add 10 to both sides

7x-10+10 = 3x +10+10

7x = 3x + 20

7x - 3x = 10+10

4x = 20

x = 20/4

x = 5

Get AC

AC = 7x - 10

AC= 7(5) - 10

AC = 35-10

AC = 25 (Proved)

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Find angle A and angle B..

ExtremeBDS [4]

Step-by-step explanation:

$\sf{\bold{\blue{\underline{\underline{Given}}}}}$

$\tt{\angle{c}=110°}$

and,

$\tt{BC=AC}$

⠀⠀⠀⠀

$\sf{\bold{\red{\underline{\underline{To\:Find}}}}}$

☆Find the $\angle{B} ~and~\angle{A}$

$\sf{\bold{\purple{\underline{\underline{Solution}}}}}$

Here,

BC =AC

so,

⠀⠀⠀

$\angle{A}=\angle{B}$

we know that,

$\tt{\boxed{\pink{\angle{A}+\angle{B}+\angle{C}=180°}}}$

But $\angle{C}=110°$ (Ģìvéñ)

so..

$\angle{A}+\angle{B}+110°=180°$

$\angle{A}+\angle{A}+110°=180°$

$\because{\angle{A}=\angle{B} }$

$2\angle{A}=180°-110°$

$2\angle{A}=70°$

$\angle{A}=\dfrac{70°}{2}$

$\boxed{\orange{\angle{A}=35°}}$

But...

$\angle{A}=\angle{B}$

soo,

$\boxed{\orange{\angle{B}=35°}}$

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

⠀⠀⠀⠀

$\boxed{\green{\angle{A}=35°}}$

$\boxed{\green{\angle{B}=35°}}$

7 0

3 years ago

What is the initial value in the exponential equation below? y = = 4000(1.05)*

Svet_ta [14]

Answer:

$y = 4000$ (when x = 0)

Step-by-step explanation:

The initial value of the exponential equation is:

$y = 4000\cdot (1.05)^{0}$

$y = 4000\cdot 1$

$y = 4000$

8 0

3 years ago

Is this ordered pair a solution to the inequality? (1, 3) 5x+y<-3 A.)No B.)Yes

max2010maxim [7]

(1,3) means that x = 1 and y = 3. Let's make substitutions to see what happens with the inequality

5*x + y < -3
5*1 + y < -3 ... replace x with 1
5*1 + 3 < -3 ... replace y with 3
5 + 3 < -3
8 < -3

This is false. The number 8 is NOT smaller than -3.

So (1,3) is NOT a solution

Answer: Choice A) No

3 0

4 years ago

Solve for n. n + 1 = 4(n – 8)

Ivan

N=11 hopefully that’s right 99%