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jarptica [38.1K]
3 years ago
14

A triangle has the following two angle measures:

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

62°

Step-by-step explanation:

Given that the triangle has two angle measures of 41° and 77°.

All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:

Let x = the missing measure

41 + 77 + x = 180

Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: 118 + x = 180

Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: x = 62

Therefore, the third angle must have a measure of 62°.

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The slide at the playground has a height of 5 feet.
LenaWriter [7]

Answer:

Assuming the slide is straight - 12 feet

Step-by-step explanation:

Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.

We know that:

x^2 + 5^2 = 13^2\\x^2 + 25 = 169\\x^2 = 144\\x = 12 \vee x = -12\textrm{; but -12 doesn't make sense}

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Answer:

Iced Tea

Step-by-step explanation:

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Which transformations would affect the asymptote of a logarithmic<br> function?
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Transformations of logarithmic graphs behave similarly to those of other parent functions. We can shift, stretch,compress, and reflect the parent function y=log b (x) without loss of shape.
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3 years ago
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A van and a bicycle move towards each other. The speed of the van is 80 km per hour, and the speed of the bike is 20 km per hour
Nimfa-mama [501]
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Oh lord help q-q <br> I have like no time left-
galina1969 [7]

Answer:

(Triangular pyramid)

Lateral area = 1650m^{2}

Total surface area = 1860.1m^{2}

(Triangular prism)

Volume = 660cm^{3}

Step-by-step explanation:

<u> For the triangular pyramid</u>

Area of triangle = \frac{1}{2} × base × height

Area of the base = \frac{1}{2} × 22 × 19.1 = 210.1

Area of the sides = \frac{1}{2} × 22 × 50 = 550

Number of sides (excluding base) = 3

∴ Total Area = 210.1 + (550 × 3)

= 210.1 + 1650 = 1860.1m^{2}

Lateral Area = (550 × 3)  = 1650m^{2}

<u>For the triangular prism</u>

Area of the triangle = \frac{1}{2} × 12 × 5 = 30

Volume = Area x Height

Volume = 30 ×  22 = 660cm^{3}

5 0
3 years ago
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