Answer:
2 should be distributed as 2y + 8; y = 4
Step-by-step explanation:
2(y + 4) = 4y
Distribute
2y + 8 = 4y
Step 2 is incorrect because the added instead of multiplied
Continuing on to correct the problem
Subtract 2y from each side
2y+8-2y = 4y-2y
8 = 2y
Divide by 2
8/2 = 2y/2
4 =y
Answer:
14)
21√2
15)
Leg: 7√3
Hypotenuse: 14
Step-by-step explanation:
The hypotenuse is √2 as long as each leg. That means the leg is 42/√2. Simplified to make 21√2.
The hypotenuse is always twice as long as the shortest leg on a 30-60-90 triangle. The longer leg is √3 as long as the shortest side.
Answer:
Slope: 
Y-intercept: 399
Slope-intercept form: 
Step-by-step explanation:
1. The equation in Standard form is given in the problem:
2. Then, to write the equation of the line in slope-intercept form 
, where <em>m</em> is the slope and <em>b</em> is the y-intercept, you must solve for <em>y</em> as you can see below:
3. Therefore, the slope and the y-intercept are:
First, find out x
x+15+2x+15=180
3x+30=180
3x=150
x=50
so the two angels are x+15=65(let's name is ∠5 for convenience), and ∠6= 2x+15=115
notice the two inner lines are marked as congruent, so
∠4=∠5=65
∠1=180-∠4-∠5=180-65-65=50
Name the right bottom angle ∠7, ∠3=∠7 and ∠3+∠7=the exterior angle 100 degree, therefore, ∠3=50
∠2+∠3=∠4, therefore, ∠2=∠4-∠3=65-50=15
∠1=50, ∠2=15, ∠3=50, ∠4=65
