Answer:
m<P=130°
m<Q=130°
m<R=50°
Step-by-step explanation:
m<P=130
m<Q=130
m<R=50
Answer:
Q1. x= 18, y=59
Q2. m∠J= 56°
Step-by-step explanation:
Q1. (3x +5)°= y° (base ∠s of isos. △)
y= 3x +5 -----(1)
(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)
3x +5 +y +4x -10= 180
7x +y -5= 180
7x +y= 180 +5
7x +y= 185 -----(2)
Substitute (1) into (2):
7x +3x +5= 185
10x= 185 -5
10x= 180
x= 180 ÷10
x= 18
Substitute x= 18 into (1):
y= 3(18) +5
y= 59
Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)
5x -13= 3x +17
5x -3x= 17 +13
2x= 30
x= 30 ÷2
x= 15
∠LKJ
= 3(15) +17
= 62°
∠KLJ= 62° (base ∠s of isos. △)
m∠J
= 180° -62° -62° (∠ sum of △JKL)
= 56°
Given:
The radius of circle is 11 inch
The value for pi is 3
The objective is to find the area of the circle.
The area of the circle is given by the formula:
Substituting ,r = 11
We get:
Hence, the area of the circle is 363 square inches
Answer:
exponent of x is 33
exponent of y is 0
Step-by-step explanation:
you need to combine all powers (exponents) of x, and all exponents of y separately.
remember : x to the power of a divided by x to the power of b is x to the power of (a-b).
when multiplying, the "-" turns into a "+".
so, we have actually for x the exponent calculation :
8 - 14 -(-39) = 8 - 14 + 39 = 33
so, x³³ remains.
and for the y exponents
-26 -(-5) -(-21) = -26 + 5 + 21 = 0
so, all the y expressions eliminate each other and y⁰ remains.
Answer:
1.4
Step-by-step explanation:
0.5f-2.3g where f=12 and g=2
substitute 12 in for f and 2 in for g and solve
0.5(12)-2.3(2)
6-4.6=1.4
