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Alex73 [517]
3 years ago
6

Find the value of x and y

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

is the same thing here as the other triangles, the triangle below is an equilateral, the one above is an isosceles.

the <u>vertex</u> of the isosceles is 40°, so the twins angle at the <u>base</u> are (180 - 40)/2 = 70° = x each.

since the sides in the equilateral are all the same length, then 2y + 10 = x - y, but we already know what "x" is, so


\bf 2y+10=x-y\implies 2y+10=\stackrel{x}{70}-y\implies 3y=60 \\\\\\ y=\cfrac{60}{3}\implies y=20

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Find the slope of the line 8x – 4y = 8\ (hint: find 2 points; then use the slope formula)
vodka [1.7K]
Or you can do the easy way

convert to slope intercept
y=mx+b
m=slope

get 1y all by itself

8x-4y=8
minus 8x both sides
-4y=-8x+8
divide both sides by -4
y=2x-2
y=mx+b
slope is 2

the hack way is
for an equatoin in standard form
ax+by=c
slope=-a/b



slope=2



if  you want to graph 2 points and do it the long way, here it is
if x=0, y=-2
if y=0, x=1
(0,-2) and (1,0)
slope=(y2-y1)/(x2-x1)
slope=(0-(-2))/(1-0)=2/1=2



slope is 2
8 0
3 years ago
-4 (r + 2) = 4 (2 - 2r)
Nady [450]

Answer:

r=4

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(r+2)=4(2−2r)

Step 1: Simplify both sides of the equation.

−4(r+2)=4(2−2r)

(−4)(r)+(−4)(2)=(4)(2)+(4)(−2r)(Distribute)

−4r+−8=8+−8r

−4r−8=−8r+8

Step 2: Add 8r to both sides.

−4r−8+8r=−8r+8+8r

4r−8=8

Step 3: Add 8 to both sides.

4r−8+8=8+8

4r=16

Step 4: Divide both sides by 4.

4r

4

=

16

4

r=4

Answer:

r=4

3 0
3 years ago
A scale model of a building has a height of 18 inches and a length of 14 inches. The height of the real building Is 360 ft. What
Naya [18.7K]
For this case, the first thing to do is find the scale factor.
 Using the measure of height we have:
 k = (360) / (18 * (1/12))
 k = 240
 Thus, the length of the building is:
 (14 * (1/12)) * (240) = 280 feet
 Answer:
 
The lenght of the real building is:
 
280 feet
5 0
3 years ago
3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 27
Vladimir [108]
People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x

y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

hope this is right! have a great. day
7 0
3 years ago
Raul drove 80 miles. This represents 50% of his entire trip. What is the total number of miles in Raul's trip?
Dafna11 [192]
If 80 miles is 50% of his trip, then you know that 80 miles is only HALF of his entire trip. To get the distance Raul traveled in total, simply double the 80 miles. This would be 160 miles. 
Raul traveled a total of 160 miles in his trip.
7 0
3 years ago
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