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hodyreva [135]
2 years ago
9

Find the measure of the angle indicated. A. 130° B. 142° C. 145° D. 38°

Mathematics
2 answers:
Inessa [10]2 years ago
7 0

Answer: 142°

Step-by-step explanation:

∡BAC= 38°

∡BAN= 180°-38° = 142°

attashe74 [19]2 years ago
4 0

Answer:

  • 142 = x

Step-by-step explanation:

<u>We know that:</u>

  • Triangle = 180°

<u>Let's name the missing angle x.</u>

  • 73 + 69 + (180 - x) = 180
  • => 142 + (180 - x) = 180
  • => 322 - x = 180
  • => 322 - 180 = x
  • => 142 = x

Hence, the value of the missing angle is 142°.

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What is the area of the trapezoid? [A = 5(61 + b2)h]
Harman [31]

Answer:

A = 105 cm²

Step-by-step explanation:

The area (A) of the trapezoid is calculated as

A = \frac{1}{2} [ (b₁ + b₂)h ]

where h is the height and b₁, b₂ the parallel bases

Here h = 5 , b₁ = 24 and b₂ = 18 , then

A = \frac{1}{2} [ (24 + 18)5 ]

   = \frac{1}{2} (42 × 5)

   = \frac{1}{2} × 210

   = 105 cm²

7 0
3 years ago
A weather station in a major city in the Northwest kept data about the weather conditions over the past year. The probabilities
Black_prince [1.1K]
It is important to note that all the information's required are already given in the question

Probability that a day will be hot = 0.15 + 0.10
                                                   = 0.25
Probability that a day will be sunny = 0.15 + 0.30 + 0.10
                                                        = 0.55
Adding the above two probabilities, we get = 0.25 + 0.55
                                                                     = 0.80
Now
Probability that a day will be both hot and sunny = 0.15
So
Probability that a day was hot or sunny = 0.80 - 0.15
                                                               = 0.65
I hope the procedure is clear enough for you to understand.
3 0
3 years ago
Read 2 more answers
Please help due in 5 minutes
miv72 [106K]

Answer:

x = 0

y= -3

Step-by-step explanation:

x = y + 3 into the equation y = -4x - 3, so

y = -4(y+3) - 3

y = -4y - 12 - 3

y = -4y - 15

5y = -15

y = -3

Then, you can substitute this into the equation x = y + 3

x = -3 + 3\\x = 0

6 0
3 years ago
Which of the following graphs shows a negative linear relationship with a correlation coefficient, r, relatively close to -1
abruzzese [7]
Graph B is the correct answer as of July 2018
8 0
3 years ago
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What is the equation for​
WARRIOR [948]

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line(m_1) = 0.25

Let m_2 be the slope of the perpendicular line.

Passes through the point (–6, 8).

<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>

\Rightarrow m_1 \cdot m_2=-1

\Rightarrow 0.25\cdot m_2=-1

\Rightarrow m_2=\frac{-1}{0.25}

\Rightarrow m_2=-4

Point-slope intercept formula:

y-y_1=m(x-x_1)

x_1=-6, y_1=8 and m=-4

Substitute these in the formula, we get

y-8=-4(x-(-6))

y-8=-4(x+6)

y-8=-4x-24

Add 8 on both sides of the equation.

y-8+8=-4x-24+8

y=-4x-16

Hence the equation of a line that is perpendicular to the given line is

y = –4x – 16

5 0
3 years ago
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