What is the measure of EBC ? ___ degrees

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

8 0

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°

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

m arc EBC=180°+40°=220°

Finger [1]3 years ago

6 0

Answer:D

Step-by-step explanation:

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(Giving brainliest and 20 points)

MariettaO [177]

Answer:

Step-by-step explanation:

40+88+15=128+15=143

There are three rectangles that compose this shape. The first one has side lengths of 5 & 8 (l times w=a 5 times 8=40, area of the rectangle is 40). The second one has side lengths of 8&11 (8 times 11=88, area is 88). Final rectangles has side lengths of 16-(8+5) and 5 (16-13=3, 3 times 5=15, Area=15). All three of those rectangles added up is 143 as an area of the figure.

5 0

2 years ago

$35,125 loan, a feat which took ten years of quarterly payments. The loan had an interest rate of 7.44%, compounded quarterly. I

Darya [45]

First find the amount of each payment:
$35,125 = P(\frac{(1+i)^{40} -1}{i (1+i)^{40}}) , i = \frac{.0744}{4} \\ \\ P = 1252.70$

The total cost will be 40 payments plus service charges.
$40*1252.70 + 5180.70 = 55,288.90$

The percentage is the service charge divided by total cost:
$X = \frac{5180.70}{ 55,288.90} = .0937 = 9.37\%$