Value of x when angles ABC and DBE are vertical angles where
M_ABC=(5x+ 5)° and m_DBE=(6x-3)° is 8°.
Vertical angles are complementary as there sum is 90°.
As given,
Part A:
Angles ABC and DBE are vertical angles m_ABC=(5x + 5)°
M¿DBE=(6x- 3)°
(5x+ 5\°=(6x - 31
=(6x - 5x)°=(5 +3)°
8°
Part B:
Vertical angles are complementary if there sum is 90°.
Here
m_ABC + m_DBE
5(8)+5 +6(8)-31°
= 90°
7/8(x-1/2)= -49/80
Multiply the bracket by 7/8
7/8x-7/16= -49/80
Move -7/16 to other side. Sign changes from -7/16 to +7/16
7/8x-7/16+7/16= -49/80+7/16
7/8x= -49/80+7/16
Find common denominator for 7/16 which is 5. Multiply 5 for the numerator and denominator.
7(5) / 16 (5)
= 35/80
7/8x= -49/80+35/80
7/8x= -14/80
Reduce -14/80 , divide by 2
(-14) /2=7 , 80/2= 40
-14/80= -7/40
7/8x= -7/40
Multiply by 8/7
7/8x*8/7= -7/40 * 8/7
Cross out 7 and 7 , and divide by 7. Cross out -7 and 7 and divide by 7. Cross out 40 and 8 divide by 8.
x= -1/5
Answer: x= -1/5 - G.
Answer:
30 is 20% of 150 i.e. 20% of total 150 students in the marching bank play the trumpet.
Step-by-step explanation:
Draw two number lines:
- One number line to represent number of students from 0 to 150. For convenience, divide the number line into intervals of 15 so that 30 is also present on the line.
- Second number line to represent percentage and divide it in intervals from 1 to 100.
Now, place the other number line just below the other number line and draw a vertical line as shown the attached figure.
We find out that 30 is at 20% of 150.
It means that 20% (30 of total 150) of total 150 students in the marching band, play trumpet.
To get the answer, you must solve 5656 / 3434 which = 1.64
The closest answer choice that matches this is the last one: 1 3/5 cup
The percent of commission is 7.3% to the nearest tenth of a percent
Step-by-step explanation:
The given is:
- Bill earns a commission on every sale he makes
- He sells a bed for $591 and earns a $43 commission
We need to find the percent commission
To find the percent of commission divide the commission by the selling price and multiply the answer by 100%
∵ His commission is $43
∵ The selling price is $591
∵ The percent of commission =
× 100%
∴ The percent of commission =
× 100%
∴ The percent of commission = 7.2758%
- Rounded it to the nearest tenth percent
∴ The percent of commission = 7.3%
The percent of commission is 7.3% to the nearest tenth of a percent
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You can learn more about the percent in brainly.com/question/6871421
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