Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
Answer:
59.7%
Step-by-step explanation:
A of Circle = 50.24 sq. inches
A of Rectangle = 30 sq. inches
30 ÷ 50.24 × 100 = 59.71%
Not so sure though
the first three are irrational
Answer:
Step-by-step explanation:
Hey there!!!
According to the question,
Angle P is three less than twice less of an angle Q.
Then, let angle Q be x then angle P is 2x-3.
Now, it has also given that they are supplementary angle.
We know that the sum of supplementary angle is 180°.
Therefore, x+ 2x - 3°=180°.
Or, 3x = 180°-3°
Or, x = 177°/3
Therefore the measure of angle Q is 59° and P is 2×59°-3°= 121°.
Hope it helps....
Answer:
No, it is not a right triangle.
Step-by-step explanation:
The simplest way to determine is testing out the numbers with Pythagorian theorem.
If it complies with the theorem, it is a right triangle.
let's assume c = 28, b = 21, and a = 20
the longest side is the hypotenuse so side c (28 in) will be the hypotenuse.
According to the Pythagorian theorem, the square of the length of hypotenuse must equal to the sum of squares of other two sides.
check:
c^2 = 28^2 = 784
a^2 + b^2 = 21^2 + 20^2 = 841
because c^2 is not equal to a^2 + b^2, the triangle is not a right triangle.
