Step-by-step explanation:
the angle CDB is the supplementary angle to 9x+10 (angle ADC).
that means they stand together for 180°. as all angles around a single point on one side of a line are together always 180°.
and then, the sum of all angles in a triangle is always 180°.
so,
CDB + (4x + 10) + 50 = 180
CDB = 180 - (9x + 10) = 180 - 9x - 19 = 170 - 9x
therefore,
(170 - 9x) + (4x + 10) + 50 = 180
170 - 9x + 4x + 10 + 50 = 180
-5x = -50
5x = 50
x = 10
angle CDB = 170 - 9x = 170 - 90 = 80°
Answer:
1/3
Step-by-step explanation:
since you're finding the parallel it would have the same slope since it is parallel and since this equation is already in slope-intercept form, you can see that 1/3 is the slope
9514 1404 393
Answer:
m = 35
n = 110
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
n° = 180° -70°
n = 110
Opposite angles in a parallelogram are congruent.
2m° = 70°
m = 35 . . . . . . divide by 2°
Answer:
1½ cords per hour
Step-by-step explanation:
A log splitter can split 6/5 cords of wood in 4/5 of an hour.
To find a unit rate, we divide the quantity of cords of wood by the time.
This gives us the complex fraction.
![\frac{ \frac{6}{5} }{ \frac{4}{5} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cfrac%7B6%7D%7B5%7D%20%7D%7B%20%5Cfrac%7B4%7D%7B5%7D%20%7D%20)
This is the same as
![\frac{6}{5} \div \frac{4}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B5%7D%20%20%5Cdiv%20%20%5Cfrac%7B4%7D%7B5%7D%20)
To divide two fractions, we multiply by the reciprocal of the second fraction.
![\frac{6}{5} \times \frac{5}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B5%7D%20%20%20%5Ctimes%20%20%20%5Cfrac%7B5%7D%7B4%7D%20)
![\frac{3}{1} \times \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B1%7D%20%20%20%5Ctimes%20%20%20%5Cfrac%7B1%7D%7B2%7D%20)
This simplifies to:
![\frac{3}{2} = 1 \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B2%7D%20%20%3D%201%20%5Cfrac%7B1%7D%7B2%7D%20)
The unit rate is 1.5 cords per hour
- The sample size is 64.
- The point estimate of the population proportion is 0.625.
-The margin of error is approximately 16%.