Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:
Solve for x:
So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):
Solve for x:
So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
Answer:
49π sq. units
Step-by-step explanation:
Find the diagram attached
We can find the area of the given circle
Given
diameter of the circle d = 14
Area of the circle = πd²/4
Substitute the given diameter
Area of the circle = π(14)²/4
Area of the circle = 196π/4
Area of the circle = 49π sq. units
Hence the exact answer in terms of π is 49π sq. units
Perimeter = (length+width) x 2
Let w units be the width of the rectangle.
Length of the rectangle = 2w
Perimeter:
(2w+w) x 2 = 60
(3w)2 = 60
6w = 60
w = 10
Area:
2(10) x 10
= 20 x 10
= 200 units
There are 27 boys on the playground.
Step-by-step explanation:
No. of Pre-K children = 34
No. of kindergarten children = 29
Total no of children = 29+34 = 63
Ratio of boys to girls = 3:4
Total ratio = 3+4 = 7
Therefore,
boys proportion = 
Total number of boys = 
There are 27 boys on the playground.
Keywords: Proportion, division.
Learn more about proportion at:
#LearnwithBrainly
C=d x pi
d= 24
C= 24 x 3.14
C=75.36 inches
hope this helps
