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Finger [1]
2 years ago
7

Lesson 5: Lines and Triangles Geometry A Unit 4: Parallel and Perpendicular Lines

Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
7 0

Answer:

the value of the angle k is 73° .

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Triangles have many important properties that are extremely helpful. One of the most important properties about all triangles is that the sum of all three interior angles sums up to be 180°. This being the case we can sum up the angles already given to us and subtract it from 180° in order to find the missing angle (k).

62+45 = 107

180-107 = 73

Finally, we can see that the value of the angle k is 73° .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

aev [14]2 years ago
3 0
The Triangle Sum Theorem states that the sum of the angles of a triangle equal 180°. 
Therefore,
45° + 62° + k = 180
   107°      + k = 180
                   k  = 73°
The value of k is 73°
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X3+5x2+5×-2 is the correct answer.
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Maria has $2.43 in quarters and pennies in her wallet. She has twice as many pennies as quarters. How many coins of each type do
user100 [1]

Given maria has \\\$ 2.43 in the pennies & quarters.

she has twice as many pennies  as quarters.

find out the coins

let us assume the  quarters are x

than the pennies are 2x.

Formula

 value of the pennies +  value of the quarters = total value of coins

1 quarters =$ 0.25

1 pennies = $0.01

Thus

0.25x + 0.01 (2x) = 2.43

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i.e the number of quarters are 9 and the number of pennies are 18.

Hence proved





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68 more than the quotient of an unknown number and 54 is 72.
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manny's cleaning supply store receives a mixture of 80% detergent and 20% water in 15 gallon buckets. manny would like a mixture
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2 years ago
The sun subtend an angle at 35degree from the centre of the earth whose distant from the centre of the earth is 382,100km. Find
Sonbull [250]

Study the figure attached below:

Answer:

240951.33km      

Step-by-step explanation:

For this type of question first we need to draw the figure as shown in the attached file (Figure.1).

Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).

As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.

tan(\theta )= \frac{perpendicular}{Base}

In the triangle ABC, perpendicular (opposite side to \theta ) is BC and base (Adjacent side) is AC

tan(\theta)=\frac{BC}{AC}

\theta=17.5 degree

AC=382100km

Putting the values, we get

tan(17.5)=\frac{BC}{382100}\\ \\BC=tan(17.5)*382100km\\\\BC=0.315*382100km\\\\BC=120475.66km

Diameter=d=2*Radius

As BC is the distance from center of the sun, it is the radius, so we can find the diameter if we multiply it by 2.

Diameter of the sun=d=2*120475.66km

The\ diameter\ of\ the\ sun\ = 240951.33km

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