Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
The answer is Square pyramid
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
The correct answer is 14/15. To answer this problem, it would help to change the mixed number into an improper fraction.
1 1/3
4/3 Multiply 3 by 1, and then add 1 and put 4 over 3.
4/3 x 7/10 Now, multiply both numbers by each other. Since we're multiplying, we don't need to find a least common denominator.
28/30 4 x 7 = 28; 3 x 10 = 30
14/15 Since 28 and 30 are divisible by 2, we need to simplify the answer.
The correct answer is 14/15.
Hope this helps!
