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Mars2501 [29]
3 years ago
9

Find the missing angle:

Mathematics
1 answer:
sergey [27]3 years ago
4 0

Answer:

40

Step-by-step explanation:

Going from left to right

We need to find the angle from the first triangle

The sum of the angles of a triangle is 180

80+25+x = 180

Combine like terms

105+ x = 180

Subtract 105 from each side

105-105+x = 180-105

x = 75

Then we have 3 angles that make a straight line and a straight line is 180

x + 50 + y = 180

75+ 50 + y = 180

Combine like terms

125 + y = 180

Subtract 125 from each side

125-125+y = 180-125

y = 55

We now have the triangle on the right

The angles add to 180

55+85+ ? = 180

Combine like terms

140+ ? = 180

Subtract 140 from each side

140+?  - 140 = 180-140

? = 40

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Answer:

y - 6 = (-1/2)(x - 4)

Step-by-step explanation:

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3 years ago
the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 1
Kobotan [32]

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

<h3>How to calculate the volume of a pyramid.</h3>

Mathematically, the volume of a pyramid is given by the formula:

Volume = \frac{1}{3} \times base\;area \times height

<u>For the </u><u>base area</u><u>:</u>

The area of a right triangle is given by:

A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}

A = 54 square units.

<u>Given the following data:</u>

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790

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How to get the area of the lion?<br>check the enclosed photo please!
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The area of the lion is 6m

Because: This shape is difficult to find the area of so lets break it up into a square an 2 triangles. The squares dimensions are 2mx2m, to find the area of this we multiple them together to get, 4m. Next the triangles are the same dimensions so finding one, we find the other. The dimensions of these are 2mx1m. To find the area of a triangle you multiple the 2 sides (not the diagonal side) and divide by 2. 2x1 is 2, divided by 2 is 1. So the area of both of the triangles is 1. Now we just need to add all of these together. 4m+1m+1m= 6m
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