Answer:
∠ZB = 54°
Step-by-step explanation:
Given:
Pair of complementary angles
∠ZA = (2x + 10)° and m
∠ZB = (3x + 15)
Find:
Measure of ∠ZB
Computation:
complementary angles
a + b = 90°
∠ZA + ∠ZB = 90°
(2x + 10) + (3x + 15) = 90
5x + 25 = 90
x = 13
So,
∠ZB = (3x + 15)
∠ZB = 13(3) + 15
∠ZB = 54°
Answer:
There will be 916 ants alive after 4 months.
Step-by-step explanation:
Step 1
Let's change the percentage to a decimal by dividing by a 100.
6.5% / 100 = .065
Step 2
So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.
1200 * .065 = 78
This means that after the first month, 1200 - 78 = 1122 ants will be alive.
Step 3
Now for the second month: 1122 * .065 = 72.93 (rounded to 73)
1122 - 73 = 1049 ants will be alive
Step 4
For the third month 1049 * .065 = 68.185 (rounded to 68)
1049 - 68 = 981 ants will be alive
Step 5
For the fourth month 981 * .065 = 63.765 (rounded to 64)
981 - 64 = 916 ants will be alive
Hope this helps!
Answer:
Here,
First Find distance between them by using formula √+x2-x1)2+(y2-y1)2
Then use the equation and then find locus.
Answer:
x = 2
Step-by-step explanation:
2x - 10 + 3x - 15 = 10
5x - 25 = 10
5x = 35
x = 7
7 - 5 = 2
Answer:
37.5 square units
Step-by-step explanation:
A=a+b/2h => 5 + 10 / 2 x 5
