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ZanzabumX [31]
3 years ago
5

In the diagram below, the red angle $(\angle YAK)$ and the blue angle $(\angle OAT)$ are both right angles. If $\angle YAO=23^\c

irc,$ then what is the measure of $\angle KAT$?

Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0

Answer:

Hey kroy21; the answer is 23°.

Step-by-step explanation:

Angle YAO and angle KAT are both complementary to angle OAK.

Angle OAK= 90°- Angle YAO

                  = 90° - 23°

                  = 67°

Then:

Angle KAT= 90° - Angle OAK

                 =90° - 67°

                 =23°

Hope this helps!!!

:o)

Aleonysh [2.5K]3 years ago
7 0

Answer:a

Step-by-step explanation:

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20 POINTS!!! HELP ME!!!! Use the linear combination method to solve the system of equations. Explain each step of your solution.
madreJ [45]

The solution of the system of equations is (-3 , -2)

Step-by-step explanation:

Steps for Using Linear Combinations Method)

  • Arrange the equations with like terms in columns
  • Analyze the coefficients of x or y
  • Add the equations and solve for the remaining variable
  • Substitute the value into either equation and solve

∵ 3 x - 8 y = 7 ⇒ (1)

∵ x + 2 y = -7 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y are equal in

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∴ 4 x + 8 y = -28 ⇒ (3)

Add equations (1) and (3)

∵ 3 x - 8 y = 7 ⇒ (1)

∵ 4 x + 8 y = -28 ⇒ (3)

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- Divide both sides by 7

∴ x = -3

Substitute the value of x in equation (2) to find y

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∵ x = -3

∴ -3 + 2 y = -7

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The solution of the system of equations is (-3 , -2)

Learn more:

You can learn more about the system of the linear equations in brainly.com/question/13168205

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7 0
3 years ago
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NikAS [45]
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4 0
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Triangle MNP is dilated according to the rule DO,1.5 (x,y)Right arrow(1.5x, 1.5y) to create the image triangle M'N'P, which is n
Vikki [24]

Given:

The vertex of a triangle MNP are M(-4, 6), N(2, 6), and P(-1, 1).

The rule of dilation is:

(x,y)\to (1.5x,1.5y)

The image of triangle MNP after dilation is M'N'P'.

To find:

The coordinates of the endpoints of segment M'N'.

Solution:

The end points of MN are M(-4, 6) and N(2, 6).

The rule of dilation is:

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Using this rule, we get

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