Answer:
x = 31
Step-by-step explanation:
The 2 sides are congruent, meaning the 2 angles are equal so:
47 = x + 16
subtract 16 from both sides
31 = x
He probably didnt get diabetes
Answer:
5. 50.3 m²
6. 113.1 cm²
7. 102.1 yards²
8. 50.3 yards²
9. 452.2 ft²
10.379.8 ft²
Step-by-step explanation:
Area of a circle = nr²
The circumference of a circle = 2nr
n = pi = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = diameter / 2
5. (22/7) x 4² = 50.3 m²
6. (22/7) x 6² =113.1 cm²
7. radius = 11.4/2 = 5.7 yards
(22/7) x 5.7² =102.1 yards²
8. radius = 8/2 = 4 yards
(22/7) x 4² = 50.3 yards²
9. 2nr = 75.4 yards
2 x (22/7) x r = 75.4
to find r, divide both sides of the equation by 2 and 7/22
r = 12 ft
Area = (22/7) x 12² = 452.2 ft²
10. 2nr = 69.1 yards
2 x (22/7) x r = 69.1
to find r, divide both sides of the equation by 2 and 7/22
r = 10.99 ft²
Area = (22/7) x 10.99² = 379.8 ft²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Givens<FOP = 2x + 2
<POQ = 10x - 8
<OF is bisects POQ
Comment
If you multiply POF (which is
2x + 2) by 2 it will be the same size as <POQ because POF is one of the bisected angles of < POQ.
Create an equation and solve
2(2x + 2) = 10x - 8 Remove the brackets.
4x + 4 = 10x - 8 Add 8 to both sides.
4x + 4 + 8 = 10x Combine like terms.
4x + 12 = 10x Subtract 4x from both sides.
12 = 10x - 4x
12 = 6x Divide by 6
x = 12/ 6
x = 2 <<<< answer A
Find <POF< POF = 2x + 2
< POF = 2(2) + 2
<POF = 4 + 2
<POF = 6 <<<< answer B
Find <QOF<QOF = <POF
<QOF = 6 <<<<< Answer C
Find <POQ<POQ = 10x - 8
<POQ = 10(2) - 8
<POQ = 20 - 8
<POQ = 12 <<<<< Answer D
