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:
It would take 10 years for the given sum of money be doubled at the given simple interest rate.
Step-by-step explanation:
A 10% interest would be added to the the principal amount after each year. So the interest would reach 100% i.e. equal to the principal amount in 10 years.
9514 1404 393
Answer:
49°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
∠A +∠B +∠C = 180
(x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees
5x +95 = 180
5x = 85
x = 17
x +32 = 49 . . . . measure of ∠A
Question 3
C(1, -7) D(-8, -7)
To find side length DC you count how many units are between the two points. C(1) D(-8) = 9 units
Question 1
Again count the points around the edge of the square. Since this shape is a rectangle, side length WX = YZ and side length XY = WZ.
WX = YZ = 11 units
XY = WZ = 15 units
Perimeter = WX + YZ + XY + WZ = 11(2) + 15(2) = 52 units
Answer:
First question ever tough love this is brainly <3
Step-by-step explanation:
