Answer:
alternate interior angle tq
Answer:
Step-by-step explanation:
Circumference of a circle means the perimeter of a circle and it is given be
Perimeter=2πr
P=2πr
Though π is a constant
But this question want us to find π
Make π the subject of the formula
Then, divide both side by
π=P/2r
Given that P=37.7cm
And diameter =12
And radius is half of diameter.
Therefore, radius =12/2=6cm
Then
π=P/2r
π=37.7/2×6
π=37.7/12.
Then, the last option is the correct option
Answer:
3¾
Step-by-step explanation:
Geometric sequence also known as geometric progression, can be said to be a sequence with a constant ratio between the terms.
Formula for geometric sequence:
Given:
First term, a1 = 30
ratio, r = ½
Required:
Find the fourth term
Where, the first term, a¹ = 30
Second term: a² = 30 * ½ = 15
Third term: a³ = 15 * ½ = 7.5
Fourth term: a⁴ = 7.5 * ½ = 3.75 = 3¾
Therfore the fourth term of the geometric sequence is 3¾
The value of ? and X are 12 and 24 respectively
<h3>Similarity theorem of a triangle</h3>
A triangles is 2D shape with three sides and angles.
From the given diagram, the ratio of similar sides is equal to a constant as shown;
15/20 = 9+15/20+x
Cross multiply
15/9+15 = 20/20+x
15/24 = 20/20+x
Comparing with the given ratio
? = 24
X = 20+x
Find x
15(20+x) = 480
300 + 15x = 480
15x = 180
x =12
Fro the given expression
x/32 = 9/?
12/32 = 9/?
12 ? = 32 * 9
? = 24
Hence the value of ?and x from the given diagram is 12 and 24 respectively
Learn more on similar triangles here: brainly.com/question/11920446
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Answer:
x = 2 1/ 2 , − 1 1/2
Step-by-step explanation: