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GenaCL600 [577]
3 years ago
15

when angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have measures of 2x-10 degrees

and 3x-10 degrees. Find the measures of each angle.
Mathematics
1 answer:
tekilochka [14]3 years ago
6 0
(2x-10)+(3x-10)=90
(2x+3x)+(-10-10)=90
(5x)+(-20)=90
5x=110
X=22
The first is 34, the second is 56.
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Identify one characteristic of exponential growth
Sonbull [250]

Answer:

Range is always greater than zero.

Step-by-step explanation:

An exponential growth means that the growth rate of a given quantity increases exponentially.

The graph of an exponential function is shown below.

From the above graph, it's quite clear that the range of the function is never negative.

Hence, one characteristic of exponential growth is that the range(y values on the graph) is always greater than zero.

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Find the missing side of the triangle. Round your answer to the nearest tenth if necessary.
Soloha48 [4]

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

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Dmitriy789 [7]

Answer:

The first one is y = 8 and the second one is y = 4.

Step-by-step explanation:

You plug the numbers in for x and then solve the equations.

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3 years ago
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these
ANEK [815]

Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

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The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

8 0
3 years ago
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Answer:

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