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3 years ago

Please help urgent!!! Find the value of x in the triangle shown below!

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

Answer:

Step-by-step explanation:

so we know a few things about t his triangle, it's a special one :P , it's called isosceles because two of the legs are the same length, which also mean that the angle x is the same at the other unknown angle sooo there are 2 x's if that makes sense? and then we can solve this , b/c we also know that the interior angles of a triangle add up to 180°

180 = 32 + 2x

148 = 2x

74 =x

∠x = 74°

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Find all the missing dimensions when a=9, b=13, c=64°

DerKrebs [107]

Answer:

Part 1) $c=12.14\ units$

Part 2) $m\angle A=41.78^o$

Part 3) $m\angle B=74.22^o$

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

$c^2=a^2+b^2-2(a)(b)cos(C)$

we have

$a=9\ units\\b=13\ units\\C=64^o$

substitute

$c^2=9^2+13^2-2(9)(13)cos(64^o)$

$c^2=81+169-234cos(64^o)$

$c^2=250-234cos(64^o)$

$c^2=147.4212$

$c=12.14\ units$

step 2

Find the measure of angle A

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{9}{sin(A)}=\frac{12.14}{sin(64^o)}$

solve for sin(A)

$sin(A)=\frac{sin(64^o)}{12.14}(9)$

$sin(A)=0.6663$

$m\angle A=sin^{-1}(0.6663)=41.78^o$

step 3

Find the measure of angle B

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

$m\angle A+m\angle B+m\angle C=180^o$

substitute the given values

$41.78^o+m\angle B+64^o=180^o$

$m\angle B+105.78^o=180^o$

$m\angle B=180^o-105.78^o$

$m\angle B=74.22^o$

5 0

3 years ago

Please help! Attached is the picture of the problem! Will name Brainliest!

Degger [83]

Answer:

Blank 1: Parallel

Blank 2: Zero

Blank 3: Perpendicular

Blank4: Maximum

Step-by-step explanation:

If you really ready it out loud with these words in the blanks as I assigned them, it sounds completely right.

Further Explanation:

Blank 1: If the sentence if talking about the angle being of 0 degrees, it means that the line on a graph would be completely straight across;

Blank 2: Since it's a straight line across, it would have little to no work to do in order to force anything.

Blank 3: With this one being a 90 degree angle, and not being a straight line it would only be natural that this answer would be perpendicular.

Blank 4: It would have a lot of work to do since the said line is pushing in two separate directions, as you can see from the picture provided in the question.

Hope this helped!

If it's incorrect I apologize.

5 0

3 years ago

Express using algebra A stick l feet long is broken into 2 parts one of which is twice as long as the other. How long is the sho

aliina [53]

Answer:

20 is the longer piece, and 9 is the shorter piece

Step-by-step explanation:

9*2=18

18+2=20

20+9

4 0

3 years ago

Find the value of X......

Ivahew [28]

Answer:

720 = x +133+138+148+95+105

x = 101

5 0

3 years ago

The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?

aleksley [76]

Answer: It’s 6 meters

Step-by-step explanation:

if we know the area and the length we need to divide the two to get the width.

78 divided by 13. = 6

7 0

3 years ago