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2 years ago

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics

1 answer:

natta225 [31]2 years ago

5 0

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given. Side x is the "side adjacent to the angle" and is to be found. The hypotenuse is 13.

The cosine function makes use of these three knowns: the angle, the hypotenuse and the adjacent side. Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get x = 5.49, or x = 5.5 to the nearest tenth.

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Twice a number plus twice a second number is 310. The difference between the numbers is 55

agasfer [191]

Answer:

x = 105

y = 50

Step-by-step explanation:

To solve this, try writing it out as an equation/expression first.

When you do, you should get something like this:

2x + 2y = 310

x - y = 55

This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.

2(x - y = 55) = 2x - 2y = 110

Now, subtract your new equation from the first one [2x + 2y = 310]

2x + 2y = 310

-2x + 2y = -110

//If you're wondering why I changed the signs of the new equation, I multiplied our new equation [2x - 2y = 110] by -1 since we're subtracting//

When you're done subtracting, the "2x" and "-2x" cancel out, so you're left with:

4y = 200

Now, simply solve for "y" by dividing both sides by 4.

4y = 200

y = 50

Now that we know y's value, substitute it into one of our original equations to solve for x.

//I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//

When we plug it in, we get:

x - (50) = 55

To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.

x - 50 = 55

x = 105

So, x = 105 and y = 50

4 0

3 years ago

Given: measure of angle KJ = 124°, measure of IC =38° Find: m∠CQJ, m∠LIJ.

VLD [36.1K]

Answer:

Part 1) $m$

Part 2) $m$

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

$m$

$arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)$

substitute the values

$arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°$

$m$

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

$m$

substitute the values

$m$

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

$m$

substitute the values

$m$

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

$m$

substitute the values

$m$

3 0

3 years ago

It's always a good idea to check your solutions to any equation in the original equation. When solving an absolute value equatio

Andru [333]

You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression

<h3>What is an extraneous solution?</h3>

An extraneous solution is a solution that in obtained after completely solving an equation but it does not work in the original given equation.

You should must check for an extraneous solution when the variable appears both inside and outside the absolute value expression (Option D).

Learn more about extraneous solution: brainly.com/question/14054707

#SPJ1

7 0

2 years ago

Just a tad bit more points :)

swat32

Answer:

Thx have a great day :)

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is T in -5t-2(5t+10)=100

Alina [70]

Answer:

t=-8

Step-by-step explanation:

-5t-2(5t+10t)=100

-2 x 5t=-10t

-2 x 10 = -20

-5t-10t-20=100

combine terms and add 20

-15t=120

divide by -15

t=-8

7 0

2 years ago