Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
Answer: 1. C, 2. B, 3. C, 4. C, 5. B, 6. B
Answer:
30
Step-by-step explanation:
7 1/2 is 15/2 as an improper fraction
15/2 ÷ 1/4 = 15/2 · 4 which is 30
Answer:
Amanda's percent of error: = .03 or 3% Dwyane's percent of error: = .02 = 2%
Looks like Amanda had the larger error.
<u>Step 1:
</u>
Find fractions equivalent to 5/6 by multiplying the numerator and denominator by the same whole number:
5/6 x 2/2 =10/12
5/6 x 3/3 =15/18
5/6 x 4/4 =20/24
5/6 x 5/5 =25/30
5/6 x 6/6 =30/36 and so on.
<u>Step 2:
</u>
Find fractions equivalent to 3/4 by multiplying the numerator and denominator by the same whole number:
3/4 x 2/2 =6/8
3/4 x 3/3 =9/12
3/4 x 4/4 =12/16
3/4 x 5/5 = 15/20
3/4 x 6/6 =18/24 and so on.
