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2 years ago

Could somebody solve it, explaining it?

Mathematics

1 answer:

TiliK225 [7]2 years ago

5 0

Answer:

a=44, b= 58

Step-by-step explanation:

You look at the first triangle that gives you the two angles, and with the rule that every triangle's angles inside it need to add up to 180 degrees, you can determine that the missing angle is 46 degrees, which translates over to the other triangle, meaning that a would be 44 degrees.

The other triangle has two identical angles, being 61 degrees, which helps translate to the smaller triangle, again allowing you to infer that b is 58 degrees

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-1 + 2x - x = x - 8 + (-x)

CaHeK987 [17]

Answer:

x = -7

Step-by-step explanation:

-1 + x = -8

x = -7

6 0

3 years ago

What is the value of x?<br><br> Please help! Thanks!

leonid [27]

Answer:

x=75

Step-by-step explanation:

We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.

42 50

------ = ----------

42+63 50+x

42 50

------ = ----------

105 50+x

Using cross products

42(50+x) = 50*(105)

2100+42x = 5250

Subtract 2100 from each side

2100-2100+42x = 5250-2100

42x =3150

Divide by 42

42x/42 = 3150/42

x = 75

8 0

3 years ago

Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyelin

boyakko [2]

<h3>Answer: 24 feet (Choice D)</h3>

=============================================

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

---------------------------

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

x = 23.9965714046732

That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

6 0

3 years ago

How many times is 1 trillion greater than 1 billion

vodomira [7]

1 trillion can be written as 1,000,000,000,000

1 billion can be written as 1,000,000,000

There are 3 more 0’s in 1 trillion than there are in 1 billion, so therefore 1 trillion is 1,000 times greater than 1 billion.

If you have any further questions feel free to ask.

Hope this helps

8 0

3 years ago

Find the value of x

Lana71 [14]

Answer:

Step-by-step explanation:

7 0

3 years ago