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aivan3 [116]
3 years ago
14

A triangle has 3 angles. One of the angles is 40 degrees. Another angle is 60 degrees. The last one has a label of 2n - 10. What

would "n" have to be?
A. 25
B. 35
C. 45
D. 55
Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

C

Step-by-step explanation:

The sum of the angles on a triangle must always equal 180 degrees. That means...

40 + 60 + (2n - 10) = 180

100 - 10 + 2n = 180

90 + 2n = 180

90 - 90 + 2n = 180 - 90

2n = 90

n = 45

I hope this helps!

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The diagram shows a logo made from 3 circles.
Cloud [144]

Answer:

% area of the shaded region = 33%

Step-by-step explanation:

Radius of the middle circle = 7 cm

Radius of the inner circle = 4 cm

Area of the middle circle = πr²

                                          = π(7)²

                                          = 49π

   Area of the inner circle = π(4)²

                                           = 16π

Area of the shaded region= 49π - 16π

                                            = 33π

Area of the outermost circle = π(10)²

                                               = 100π

% area of the shaded region = \frac{\text{Area of the shaded region}}{\text{Area of the inner circle}}\times 100

                                                = \frac{33\pi }{100\pi }\times 100

                                                = 33%

Therefore, area of the shaded region is 33% of the complete logo.

3 0
3 years ago
Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation. Write a mult
Elina [12.6K]

 decrease in temperature if you hike up the mountain 3000 meters is  -30° .

<u>Step-by-step explanation:</u>

Here we have , Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation . We need to find Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Let's find out:

For every 1000 meters rise in elevation , there is decrease in 10° of temperature . So , For rise in n meters in  elevation , there is decrease in n×10° of temperature i.e

Decrease in temperature = (n/1000)×(-10) i.e.

⇒  (n/1000)×(-10)

⇒ \frac{n}{1000}(-10)

At n = 3000 meters:

⇒ \frac{3000}{1000}(-10)

⇒ 3}(-10)

⇒ -30°  

Therefore ,  decrease in temperature if you hike up the mountain 3000 meters is  -30° .

8 0
3 years ago
Can someone help me with this?​
Mariulka [41]

Answer:

1) 4+5=9.

2)  2+(-6)=-4

3)  -3+(-7)=-10

4)  (-7)+3=-4

5)  9+(-4)=5

6)  -1+4=3

7)  5+(-5)=0

8)  -3+(-6)=-9

Step-by-step explanation:

In the given number lines, rightarrows represent positive integers and leftarrows represent negative integers.

1)

In first number line we have two rightarrows.

Rightarrow from 0-4 = 4

Rightarrow from 4-9 = 5

So, required sum is 4+5=9.

Similarly,

2)

2+(-6)=-4

3)

-3+(-7)=-10

4)

(-7)+3=-4

5)

9+(-4)=5

6)

-1+4=3

7)

5+(-5)=0

8)

-3+(-6)=-9

8 0
3 years ago
Enrico is filling his pool. The pool has 3,000 gallons of water now. The water hose used by Enrico puts 500 gallons per hour in
Tju [1.3M]

Answer:

6

Step-by-step explanation:

5 0
4 years ago
5TH GRADE LEVEL QUESTION. PLEASE LOOK AT PHOTO AND ANSWER AND PLEASE LIST STEP BY 1,2,3 GIVING BRAINLIEST.
Andrej [43]

Answer:

Step 1: 3*4=12

Step 2: 12+3=15

Step 3: 15-10=5

Step-by-step explanation:

8 0
3 years ago
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