Answer:
a= 30
b=60
c=105
Step-by-step explanation:
A forms a vertical angle with another angle that measures 30 degrees, therefore,
a= 30 degrees.
Since a is 30 degrees and a and b are in the same triangle with a 90-degree angle and all interior angles in a triangle equal 180 degrees.
Then, 30+90+b=180
120+b=180
b=60
Angle c and an angle that equals 75 degrees are supplementary. meaning that they add up to 180 degrees.
180-75=c
105=c
Hello from MrBillDoesMath!
Answer: N = 143
Discussion:
This one took some trial and error! At first I listed all 2 digit primes, looked at the list, but didn't know how to proceed. So, I took the smallest 2 digit primes numbers: 11 and 13 and wondered if their product, 13*11 = 143, could be represented as the sum of 3 consecutive primes. I went back to my list of primes, added groups of three consecutive numbers that seemed to be in the right range to give the desired sum, and stumbled on 43, 47, and 53!
43 + 47 + 53 = 143 !
Therefore N = 143. It's the sum of 43, 47, and 53 as well as the product of 11 and 13.
Thank you,
MrB
Answer:
B
Step-by-step explanation:
We can divide using the calculator by entering in 59, 584 first followed by 14 before the division sign.
We can also perform long division:
__<u>4256_</u>____
14 | 59, 584
<u> -56__</u>__
35
<u> -28____</u>
78
<u> -70_</u>___
84
<u> -84_</u>___
0
Answer:
The ration of 15 to 10 is 3/2
Step-by-step explanation:
Answer:
The shadow of the building = 192 ft.
Step-by-step explanation:
∵ There is a proportional relation between the heights of the tree and the building and their shadows
∴ Height tree/height building = shadow tree/shadow building
x = 
= 192 ft ⇒ x is the length of the shadow of the building
