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Svetach [21]
3 years ago
9

A. 15 B. 75 C. 100 D. 105

Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

B. 75

Step-by-step explanation:

According to vertical angles theorem, angles that are opposite of one another with shared lines will be equal, so we can set 5x = x +60.

Solving for x, we get x = 15, and substituting into the angle we get 15 + 60 = 75 degrees.

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Find the area of the shaded region. Round to the nearest hundredth when necessary.
dusya [7]
Answer: 423.11 m^2


Step by step explanation:

Area of a circle formula pi*r^2

First solve the area of the big circle

3.14*21^2=1384.74 m^2

Now find the are of the smaller circle

r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2

Now we can minus the small area off the big area to get the shaded area.

1384.74-961.63=423.11 m^2

So the area of the shaded region is 423.11 m^2
3 0
3 years ago
Factorize the following quadratic equation u²- 12 u + 35 = 0​
lubasha [3.4K]

Answer:

X₁=7 ,X₂ = 5

Step-by-step explanation:

a= 1²  b= - 12   c= 35

X =[ ( -b±√b²-4ac ) / 2a]

So, use this formula and get the answer...

   Even if you use the middle term formula, you will get the same answer

4 0
3 years ago
Caden exercises daily by walking on a treadmill. He sets the machine so that he will walk at a steady rate of 3.6 miles per hour
babunello [35]

Answer:

a) d = 3.6t

b) 10.8 miles

c) 1.2 hours

Step-by-step explanation:

For part a:

Slope of a line: y = mx + b

In this case, the equation would be: d = mt,

where m represents the speed Caden is walking at.

Note: b = 0 in this case because when Caden starts walking on the treadmill, he hasn't really covered any distance yet.

Therefore, plugging in a speed of 3.6 miles per hour, the equation is:

d = 3.6t

For part b:

This is a simple instance of plugging in 3 hours for our t value.

Therefore, d = 3.6 (3)

d = 10.8 miles

For part c:

In this case, we are given that d = 4.32 miles.

Therefore, 4.32 = 3.6t

Dividing both sides by 3.6, we get

t = 1.2 hours

5 0
3 years ago
Can someone help . 8th grade math.
SVETLANKA909090 [29]

the answer should be if i did my math right is 0.25


8 0
3 years ago
6 boys on the baseball team split 9 cupcakes after the game what fraction of the cupcakes did each boy get?
NNADVOKAT [17]

Answer:

2/3

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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