X = 5/3 and m∠SPY = 8 1/3°.
Since PQ bisects the angle, the two angles formed by the bisector are equal:
11/2x - 5 = 4x - 5/2
We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5
Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5
Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5
Divide both sides by 3:
3x/3 = 5/3
x = 5/3
Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:
11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2
We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°
Answer:
4th option, 5 5/6
Step-by-step explanation:
8 1/2 - 2 2/3
= 17/2 - 8/3
= (51-16)/6
= 35/6
= 5 5/6
Answered by GAUTHMATH
Answer:
y - 7 = 16/13(x - 7)
General Formulas and Concepts:
<u>Alg I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
Slope Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-6, -9)
Point (7, 7)
<u>Step 2: Find slope </u><u><em>m</em></u>
- Substitute:
- Add:
<u>Step 3: Write equation</u>
y - 7 = 16/13(x - 7)
Answer:
16
Step-by-step explanation:
Lets assume x is Elgas' age
And y is Alvins age
we know that alvin is 11 years younger than Elga which means,
x=y+11
and the sum of their age is 43
x+y=43
solve it and you get 16
