Answer:
105 ft.
Step-by-step explanation:
5 x 12 = 60
So 5 feet is 60 inches.
60 + 3 = 63
That makes the ridge 63 inches long.
When the lion went up the ridge, it traveled 63 inches.
When the lion went back down the ridge, it traveled another 63 inches, totaling 126 inches.
The lion did this 10 times.
126 x 10 = 1260
Divide 1260 by 12 to find the measurement in feet.
1260 ÷ 12 = 105
-5m = 4 - 6m....add 6m to both sides
6m - 5m = 4
m = 4 <==
Given:
To find:
The value of x and measure of ∠A.
Solution:
Let C be angle the vertically opposite to ∠A.
The reference image for answer is attached below.
By vertical angle theorem:
m∠A = m∠C
m∠C = 10x + 24°
By the corresponding angle theorem:
m∠C = m∠B
Subtract 24° on both sides.
Subtract 6x from both sides.
Divide by 4 on both sides.
The value of x is 12°.
The measure of ∠A is 144°.
Answer:
4045.10
Step-by-step explanation:
Answer:
210
Step-by-step explanation:
For getting this answer we need to find the minimum common multiplier, this is, the smaller number that is multiple of all 5, 6 and 7.
For example, 30 is multiple of both 5 and 6, son in 30 days two suppliers will come, but not the third, as 30 is not a multiple of 7.
Let's try with the next multiple of 5 and 6, this is 60, but is not a multiple of 7.
The next is 90, but again not multiple of 7. Niether are the next: 120, 150, 180.
But when we arrive to 210 we see that, as we are going from multiples of 5 and 6, and 210/7=30, 210 is also multiple of 7.
So, the answer is 210.
