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const2013 [10]
3 years ago
5

∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0
We know that ∠E = ∠F because of the vertical angle theorem.

Using substitution we get 8x + 8 = 2x + 38

Solve for x.

8x + 8 = 2x + 38
8x = 2x = 30 <-- Subtract 8 from each side
6x = 30 <-- Subtract 2x from each side
x = 5 <-- Divide both sides by 6

So, x is equal to 5.
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What is the measure of EBC ?<br> ___ degrees
erma4kov [3.2K]

Answer:

The measure of arc EBC is 220°

Step-by-step explanation:

step 1

Find out the measure of angle COB

we know that

m∠COB+m∠DOC=90°  -----> given problem

we have that

m∠DOC=m arc DC -----> by central angle

m arc DC=50°

so

m∠DOC=50°

Find m∠COB

m∠COB+50°=90°

m∠COB=40°

step 2

Find out the measure of arc BC

we have that

m arc BC=m∠COB -----> by central angle

m∠COB=40°

therefore

m arc BC=40°

step 3

Find out the measure of arc EBC

we know that

m arc EBC=m arc EB+m arc BC

m arc EB=180° -----> because the diameter divide the circle into two equal parts

so

m arc EBC=180°+40°=220°

8 0
3 years ago
Read 2 more answers
11. Find the roots of x2 - 8x + 4 = 0, in simplest radical form.
Art [367]

Answer: -6=-4 or x=2,3

Step-by-step explanation:

8 0
3 years ago
Help me help me please help help help
nignag [31]

Answer:

The first one, since that is the only one showing in the screen,

and that is actually correct, since there are no intersecting points.

4 0
3 years ago
Using the weighted average approach to process costing, floridyne would use what number of equivalent units in 2019 to calculate
timofeeve [1]

Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

<h3>How do we get the equivalent unit labor?</h3>

Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:

Finished         162,000

Ending - WIP    6,200 ending at 70% complete

Equivalent units for labor = Finished + Percentage of completion ending units

= 162,000 + 6,200 x 70%

= 166,340

Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"

Read more about equivalent unit labor

brainly.com/question/14244838

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4 0
2 years ago
Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.
KengaRu [80]

We have the following expression

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})

This is equivalent to

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})

Since

\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi

we have that

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})

Therefore, the answer is the second option from top to bottom.

3 0
1 year ago
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