J ---- P --- K
JP = 2x
PK = 7x
JK = 27
2x + 7x = 27
9x = 27
x = 27/9
x = 3
The value of P is 3.
JP = 2x = 2(3) = 6
PK = 7x = 7(3) = 21
Answer:
My guess is 21
Step-by-step explanation:
Answer:
The missing exponent is 5^7
Step-by-step explanation:
5^11/5^?=5^4
1. Subtract the exponents from each other.
11-4=7
2. Plug 7 in as the exponent.
5^11/5^7
3. 11-7=4 therefore, 5^11/5^7 equals 5^4.
Answer:
Step-by-step explanation:
Let the height of the largest triangle marked be 
. We can set up the following equation:
(if you're unfamiliar with trig, this is likely introduced to you as 30-60-90 triangle rules)
This height is also a leg of a 45-45-90 triangle, as marked in the diagram. From the isosceles-base-theorem, the other leg of this triangle must also be equal to . Therefore, we can use the Pythagorean theorem to solve for 
:
(you can also use trig or 45-45-90 triangle rules which are derived from the Pythagorean theorem)
Segment 
consists of two shorter segments, a left segment and a right segment. We've already found that the left segment is equal to 17. To find the right segment we can use trig, the Pythagorean theorem, or 30-60-90 triangle rules (derived from the Pythagorean theorem):
Using Pythagorean Theorem:
Therefore, we have:
Hello! I can help you!
4. So we are talking about 15 miles a day for 5 days each week. 15 * 5 is 75. That's 75 miles in one week. He continues doing this for 8 weeks. Now, all we have to do is multiply 75 by 8 to get the total amount of miles. 75 * 8 is 600. There. Noah bikes 600 miles in 8 weeks.
6. We are rounded to the nearest hundred. If the number behind the digit we are rounding is 5 or more, the number goes up. If it's 4 or less, the number goes down. 329,167 has 1 one in the hundreds place. 6 is in the tens place behind it. 6 is more than 5, so we round up. The number rounded to the nearest hundred is 329,200.
8. Okay. So 132 are sold in the summer and 5 times that amount is sold in the winter. The equation would be this: 132 * 5 = s. The variable s represents the snowboards. All you have to do is multiply the numbers. 132 * 5 is 660. There. The store sells 660 snowboards in the winter.
