Answer:
The age of each person is:
- Jess is <u>21</u> years old.
- Mac is <u>66</u> years old.
Step-by-step explanation:
To solve this problem you must make two equations. First, we name Jess and Mac as variables:
j = Jess age.
m = Mac age.
Now we make the equations, the first equation has the information "Jess is 12 years less than half as old as Mac":
1. 
The second equation has the information "The sum of their age is 87":
2. 
Now, we replace the first equation in the second one:
And we operate:
We clear the variable m:
How we know Mac's age is 66 years old, we can identify Jess' age with the second equation:
We replace the value of m:
And clear the variable j:
In the end, Jess's age is 21 years old.
Answer:
The measure of angle HJK is 36°
Step-by-step explanation:
<em><u>In a circle</u></em>, <em>the measure of the inscribed angle equal half the measure of the central angle subtended by the same arc</em>
In circle J
∵ J is the center of the circle
∵ H and K lie on the circle
∴ ∠HJK is a central angle subtended by arc HK
∵ L lies on the circle
∴ ∠HLK is an inscribed angle subtended by arc HK
→ By using the rule above
∵ ∠HJK and ∠HLK are the central angle and inscribed angle
subtended by the same arc HK
∴ m∠HLK =
m∠HJK
∵ m∠HLK = 18°
∴ 18 =
m∠HJK
→ Multiply both sides by 2
∴ 36 = m∠HJK
∴ The measure of angle HJK is 36°
By the looks of this the answer is E
Derek weighs 155
155+220
Answer:
60 seconds
Step-by-step explanation:
step 1.) find how many meters it falls per second
40m / 4sec = 10m/s
step 2.) use the equation above to find in terms of the question
10m/s for 6sec = 10 x 6 ====> 60 seconds
Answer:
A or 53 squared
Step-by-step explanation: