Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
6:20=9:30=3:10=18:60=16:160/3=12:40
Step-by-step explanation:
The question requires you to find value of x in the ratios given;
Start with the first pair
6:20 = 9:x
6/20 =9/x
6x=20*9
6x=180
x=180/6=30 ⇒⇒ 6:20 = 9:30
The second pair after replacing the value of x=30 will be
9:30 = x:10
9/30=x/10
90=30x
90/30 =x
3=x⇒⇒ 9:30 = 3:10
The third pair after replacing value of x=3 will be
3:10 =x:60
3/10 =x/60
180=10x
180/10 =x
18=x ⇒⇒ 3:10 = 18:60
The fourth pair after replacing value of x=18 will be;
18:60 = 16:x
18/60 = 16/x
18x=16*60
x= (16*60)/18 =160/3
x= 160/3 ⇒⇒⇒ 18:60 = 16: 160/3
The firth pair after replacing value of x=160/3 will be;
16: 160/3 =12:x
16x= 160/3 *12
16x = 160 * 4
x= (160 *4 )/16
x=40
⇒⇒ 16: 160/3 = 12: 40
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Ratios and proportions :brainly.com/question/9512748
Keywords : ratio, value of x, proportion
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Answer:
L = 2w
A = L*W
A = 2w*w
A = 2w^2
Step-by-step explanation:
Answer:
I believe according to the information provided that the answer would be would be B
Step-by-step explanation:
Answer:
Either 2.4 boxes or 6
Step-by-step explanation:
10% of 40 is 4
60% of 40 is 24
Either 2.4 boxes or 6
