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3 years ago

∆ABC is isosceles, AB = BC, and CH is an altitude. How long is AC, if CH = 84 cm and m∠HBC = m∠BAC +m∠BCH?

Mathematics

1 answer:

son4ous [18]3 years ago

3 0

I think I could help you
Have fun and feel free to ask me something new.
Or we can prove some properities without calculating by details

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Y=-x^2+2x+10<br> y=x+2<br><br> Substitution<br> Need ASAP

aniked [119]

Answer:

$x_1=\frac{1+\sqrt{33} }{2},y_1=\frac{5+\sqrt{33} }{2}\\ \\ x_2=\frac{1-\sqrt{33} }{2},y_2=\frac{5-\sqrt{33} }{2}$

Explanation:

You must find the solution of the system using the substitution method.

System:

$y=-x^2+2x+10\\\\ y=x+2$

Substitute x+2 for y:

$x+2=y=-x^2+2x+10$

Pass all the terms to one side:

$x^2-2x+x+2-10\\ \\ x^2-x-8=0$

Use the quadratic formula to solve:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\ \\ x=\frac{-(-1)+/-\sqrt{(-1)^2-4(1)(-8)} }{2(1)}\\ \\ x=\frac{1+/-\sqrt{1+32} }{2}$

$x_1=\frac{1+\sqrt{33} }{2}\\ \\x_2=\frac{1-\sqrt{33} }{2}$

Use y = x + 2 to find the value of y:

$y_1=2+x_1=2+\frac{1+\sqrt{33} }{2}\\ \\y_1=\frac{5+\sqrt{33} }{2} \\\\y_2=2+x_2=2+\frac{1-\sqrt{33} }{2}\\ \\ y_2=\frac{5-\sqrt{33} }{2}$

6 0

3 years ago

1. Olivia jumps from an Olympic diving platform down to the pool below. Her height above

puteri [66]

Answer:

You should provided some numbers to go off

Step-by-step explanation:

so I couldn't really give you a straight up answer

8 0

3 years ago

Pleasee help meeeeeee

LiRa [457]

Answer:

and.. thanks

Step-by-step explanation:

4 0

3 years ago

Write an equation of the line that passes through the points (2, -3) and (1,4).

Lelu [443]

I thiiink the line equation would be y=7/1+12

4 0

3 years ago

Marta is making a flag with the given dimensions. The perimeter of the flag is 100 inches. How much material, in square inches,

Jobisdone [24]

She would need 360 square inches of fabric, we know this by using the heron's formula P =100, S = 50

A = (50(50-41)(50-41)(50-18))^.5

A = (50(9^2)(32))^.5

A = 9(50(32))^.5

A = 9(1600)^.5

A = 9*40

A = 360

360*0.15 per piece equals $54

Answers:

360, 54

6 0

3 years ago

Read 2 more answers