Angle help! I got confused on this one idk why. (Angle adding)

Answers

Answer 1

Answer: You have to add both the angles in the beginning I messed up on the first try. It can get confusing.

Answer 2

Answer: (6x - 15) + (x + 8) = 168
7x -7 = 168
7x = 168 + 7
7x/7 = 175/7
x = 25

FJG = 6x - 15
FJG = 6(25) - 15
FJG = 150 - 15
FJG = 135

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Work out 3/4 - 1/6
Give the answer in the simplest form

Answers

$(3)/(4)-(1)/(6)=(3 * 3)/(4 * 3)-(1 * 2)/(6 * 2)=(9)/(12)-(2)/(12)=(9-2)/(12)=(7)/(12)$

$(3)/(4)- (1)/(6) = (3\cdot3)/(4\cdot3) - (1\cdot2)/(6\cdot2) = (9-2)/(12) [tex]= \boxed {(7)/(12) }$

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Answers

I hope this helps you

Water boils at different temperatures at different elevations. The boiling temperature of water is 212 degrees * F sea level (0 feet ) but drops about 1.72 degrees * F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190 degrees F.

Answers

Answer:

The elevation when the boiling point of water is $190$ ° $F$ is 12790.70 feet

Step-by-step explanation:

Let every 1,000 feet of elevation be $x$ . Hence, we can write

$T = 212$ $- 1.72x$

Where $T$ is the boiling temperature of water at different elevations

Now, to the determine the elevation when the boiling point of water is $190$ ° $F$ .

We will determine $x$ by putting $T = 190$ ° $F$ .

Hence,

$T = 212$ $- 1.72x$

$190$ $= 212$ $- 1.72x$

$190 - 212$ $= - 1.72x$

$- 22$ $= - 1.72x$

$22 = 1.72x\nx = (22)/(1.72) \nx = 12.79070$

Since $x$ represents every 1,000 feet of elevation, then the elevation when the boiling point of water is $190$ ° $F$

$12.79070$ × $1000\n$ $= 12790.70$ feet

Hence, the elevation when the boiling point of water is $190$ ° $F$ is 12790.70 feet

A triangle with vertices at A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A′(0, 0), B′(0, 10), and C′(15, 0)-. The origin is the center of dilation. What is the scale factor of the dilation?

Answers

A triangle ABC is similar to a triangle A´B´C´ The scale factor of the dilatation : s.
0 * s =0
4 * s = 10
6 * s = 15
s= 10/4=15/6=2.5
The scale factor of the dilatation is 2.5. It is shown in the attachment.

What is 3/7 reduce to its lowest term

Answers

3/7 Is already in the simplest term because there is no common factor between 3 and 7 unless it's a decimal, but we don't use decimals in fractions. So 3/7 simplified is just 3/7!

That is the lowest form of 3/7... you can not divide 3 by 7.. say the fraction was 2/4.. you would be able to take 2 divided by 4 and get 1/2.

Y=kx+b
A (1,-2) B (-2,-8)
Linear functions!

Answers

k=slope
b=y intercept

find slope
slope=(y2-y1)/(x2-x1)

(x,y)
(1,-2)
(-2,-8)

x1=1
y1=-2
x2=-2
y2=-8

slope=(-8-(-2))/(-2-1)=(-6)/(-3)=2/1=2

k=2
subsitute
y=2x+b
subsitute one point
(1,-2)
x=1,y=-2

-2=2(1)+b
-2=2+b
subtract 2
-4=b

y=2x-4

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