Answer/Step-by-step explanation:
[1] x+9+1+3x
Add the numbers
x + 10 +3x
Combine like terms
4x+10
Common factor
2(2x+5)
<u>Solution = </u><u>2(2x+5)</u>
<u>.............................................................................................................................................</u>
[2] 5a+6c+2a+3c
Combine like terms
7a+6c+3c
Combine like terms
7a+9c
<u>Solution</u><u> = 7a + 9c</u>
<u>...............................................................................................................................................</u>
[3] 5n+6m+3n
Combine like terms
8n + 6m
Rearrange terms
6m + 8n
<u>Solution </u><u>= 6m+8n</u>
<u>.............................................................................................................................................</u>
[RevyBreeze]
Answer:
One all-around trip takes 2.6, while to and from work takes 1.3 miles
Step-by-step explanation:
We know that he rides to and from work from Monday to Friday. This is a total of five days, and since he goes to and from work, he does it twice, meaning he has 5 x 2 = 10 trips. These 10 equal trips all sum to 13 miles, so one trip takes 1.3 miles.
Answer: Length of his shadow is 18 feet.
Step-by-step explanation:
Since we have given that
Length of tall monument = 64 foot
Length of shadow = 16 feet
Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches
So, we need to find the length of its shadow.
So, according to question, we get that

Hence, length of his shadow is 18 feet.
Answer:
thanks and good luck
Step-by-step explanation:
Answer:
Your answer would be 37°
Step-by-step explanation:
Since BC and DE are parallel, certain angles will be the same, such as the missing interior angle of the triangle and ∠DAF, which will also have the same measure as x.
We know that the sum of all of the interior angles of a triangle must equal 180°. So, we add 41 and 102 to get 143. This means that the missing interior angle must be 37°, since 37+143=180.
As mentioned above, because BC and DE are parallel, the missing interior angle has the same measure as ∠DAF, which is a vertical angle to x, and therefore also has the same measure. So, the measure of x is 37°.
Hope this helps you!