Answer:
x = 65 , y = 64
Step-by-step explanation:
y - 16 and 2y + 4 are same- side interior angles and sum to 180° , that is
y - 16 + 2y + 4 = 180
3y - 12 = 180 ( add 12 to both sides )
3y = 192 ( divide both sides by 3 )
y = 64
then
2y + 4 = 2(64) + 4 = 128 + 4 = 132
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2y + 4 is an exterior angle of the triangle , then
x + 67 = 132 ( subtract 67 from both sides )
x = 65
3·m - 2/3 - 2·m + 1/4 = 2/12
m - 2/3 + 1/4 = 2/12
m = 2/12 - 3/12 + 8/12
m = 7/12
Answer:
<u>y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
Step-by-step explanation:
Slope (m) = 5
Y-intercept (b) = 7
Using the equation y=mx+b, you can find m and b to make y=5x+7.
Steps:
(1, 12) (2, 17) formula: y2-y1 / x2-x1 = m
17-12= 5
2-1 = 1
5/1=5
m=5
12=5(1)+b
12=5+b
7=b
17=5(2)+b
17=10+b
7=b
<u>Answer: y=5x+7</u>
<u>or</u>
<u>f(x)=5x+7</u>
Answer:
Step-by-step explanation:
1km = 1000m
5a. 5.768km = 5768m = 57.7m
5b. 9.039km = 9039m = 90.4m
5c. 8.48km = 8480m = 84.8m
5d. 17.685km = 17685m = 17.7m
5e. 17.658km = 17658m = 17.7m
To round to the nearest 100m just divide by 100 and then round it off. like 57.68=57.7m because 8 is more than 5 so 6 becomes 7 to one decimal.
Rule is applied for all the other questions too.
The answer would be 21/50. If you have numbers with a few zeros you can cross one of the top amd bottom until you reach the other numbers, if that makes sense. You can changd 420/1000 to 42/100. Then just keep dividing it by a numner that goes evenly into both the numerator and denominator.