All categories

2 years ago

Find the measures of the interior angles of the triangle.

Mathematics

2 answers:

OlgaM077 [116]2 years ago

4 0

Answer:

∠ A = 140° , ∠ B = 30° , ∠ C = 10°

Step-by-step explanation:

the sum of the 3 interior angles = 180°

sum the given angles and equate to 180

x - 5 + 2x + 140 = 180

3x + 135 = 180 ( subtract 135 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

then

∠ A = 140°

∠ B = 2x = 2 × 15 = 30°

∠ C = x - 5 = 15 - 5 = 10°

frutty [35]2 years ago

4 0

Answer:

<h2>Angle A = 140°</h2><h2>Angle B = 30°</h2><h2>Angle C = 10°</h2>

Step-by-step explanation:

Find the measures of the interior angles of the triangle.

The sum of the interior angles of a triangle is 180°

180 = 140 + 2x + x - 5

40 + 5 = 3x

45 = 3x

x = 45 : 3

x = 15°

-----------------------

check

180 = 140 + 2 * 15 + 15 - 5

180 = 180

the answer is good

---------------------------

Find the angles

140° = angle A

2x = 15 * 2

2x = 30° (angle B)

x - 5 = 15 - 5

x = 10° ( angle C)

-----------------------

check

140 + 30 + 10 = 180°

the answer is good

You might be interested in

An automobile manufacturer has given its van a 47.2 miles/gallon (MPG) rating. An independent testing firm has been contracted t

7nadin3 [17]

Answer:

The test statistics is $t = -1.7$

The Null and Alternative hypothesis are

$H_o : \mu = 47.2$ and $H_a : \mu \ne 47.2$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 47.2 miles/gallon(MPG)$

The sample size is $n = 250 \ van$

The sample mean is $\= x = 47.0$

The sample standard deviation is $\sigma = 1.9$

The level of significance is $\alpha = 0.02$

Given that the value which the manufacturer gave the automobile is 47.2 and it is believed that this is not correct, then

The Null Hypothesis is

$H_o : \mu = 47.2$

The alternative Hypothesis is

$H_a : \mu \ne 47.2$

The test statistics can be mathematically evaluated as

$t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }$

$t = -1.7$

7 0

2 years ago

Kari picked 23 bunches of flowers from her garden. Each bunch had the same number of flowers. After she gave 46 flowers away, sh

Aleks [24]

Answer:

8 flowers in each bunch

Step-by-step explanation:

From this information, we can make the equation:

$23b-46=138$

Where $b$ is the number of flower in each bunch.

$23b-46=138$

Add 46 to both sides

$23b=184$

Divide both sides by 23

$b=8$

There are 8 flowers in each bunch.

6 0

2 years ago

Read 2 more answers

Plz ppl help me :)) plzzzzzz zz

Vilka [71]

I'd honestly go with forty eight.

5 0

3 years ago

IS this corretct ? THANKYOU! :D WILL REWARD BRAINLIEST ANSWER!

AlladinOne [14]

No, the answers are incorrect.
When reflected over the y-axis, if the x is positive, then it becomes negative, but if the x is negative, then it becomes positive. Also, the y will not change.
The answer should be
X prime: (0,-6)
Y prime: (10,4)
Z prime: (-3,-1)

5 0

3 years ago

Plz help ASAP, due friday -

denis23 [38]

Answer:

$\large\boxed{|x+7|\geq2}$

Step-by-step explanation:

Look at the picture.

$|x-a|\geq b\\\\a=\dfrac{-9+(-5)}{2}=\dfrac{-14}{2}=-7\\\\b=-9-(-7)=-9+7=-2\\b=-5-(-7)=-5+7=2\\\\|x-(-7)|\geq2\\\\|x+7|\geq2\\\\Check:\\\\|x+7|\geq2\iff x+7\geq2\ \vee\ x+7\leq-2\qquad\text{subtract 7 from both sides}\\\\x+7-7\geq2-7\ \vee\ x+7-7\leq-2-7\\\\x\geq-5\ \vee\ x\leq-9\qquad CORRECT\ :)$

8 0

3 years ago