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11. angle MLN and angle JLK are complementary, m angle MLN=7x-1 and m angle JLK=4x+3 . a. Solve for x b. Find m angle MLN and m

Natali [406]

a. Solve for x

Since angle MLN and angle JKL are complementary, the value of x = 8

Since angle MLN and angle JKL are complementary, their sum equal 90°.

Since angle MLN = 7x - 1 and angle JKL = 4x + 3, we have that

7x - 1 + 4x + 3 = 90

Collecting like terms, we have

7x + 4x - 1 + 3 = 90

Simplifying, we have

11x + 2 = 90

Subtracting 2 from both sides, we have

11x = 90 - 2

11x = 88

Dividing through by 11, we have

x = 88/11

x = 8

So, Since angle MLN and angle JKL are complementary, the value of x = 8

b. Find m angle MLN and m angle JKL .

Since angle MLN=7x-1 and angle JLK=4x+3 thus, angle MLN = 55° and angle JKL = 35°

Since angle MLN = 7x - 1 and x = 8, we have

angle MLN = 7x - 1

angle MLN = 7(8) - 1

angle MLN = 56 - 1

angle MLN = 55°

Since angle JKL = 4x + 3 and x = 8, we have

angle JKL = 4x + 3

angle JKL = 4(8) + 3

angle JKL = 32 + 3

angle JKL = 35°

So, Since angle MLN=7x-1 and angle JLK=4x+3 thus, angle MLN = 55° and angle JKL = 35°

Learn more about complementary angles:

brainly.com/question/13389583

4 0

2 years ago

2 (x-4)=22<br><img src="https://tex.z-dn.net/?f=2%28x%20-%204%29%20%3D%2022" id="TexFormula1" title="2(x - 4) = 22" alt="2(x - 4

Tasya [4]

$\bf 2(x-4)=22\implies x-4=\cfrac{22}{2}\implies x-4=11\implies x=11+4
\\\\\\
x=15$

7 0

3 years ago

Which solution to the equation StartFraction 1 Over x minus 1 EndFraction = StartFraction x minus 2 Over 2 x squared minus 2 End

Darina [25.2K]

Answer:

x = - 4

Step-by-step explanation:

Given the expression

$\frac{1}{x-1} = \frac{x-2}{2x^2-2}$

This can also be expressed as;

$\frac{1}{x-1} = \frac{x-2}{2(x-1)(x+1)}\\1 = \frac{x-2}{2(x+1)}$

Cross multiply

$2(x+1) = x - 2\\2x+2 = x-2$

Add 2 to both sides

$2x+2+2 = x-2+2\\2x+4 = x\\2x-x = -4\\x = -4$

Hence the required extraneous solution is x = -4

4 0

3 years ago

Read 2 more answers

What are some smaller branched tubes that connect the arteries abd viens called.

Nadusha1986 [10]

I’m pretty sure the answer is capillaries from biology last year!

4 0

3 years ago

The sum of two numbers is 5.036. one number has a 4 in the tenths place and 7 in the thousandths place. The other number has a 1

UNO [17]

1.x2x
+x.4x7
5.036 (sorry the underline function is no longer available)

In the thousandth column we have x +7 and we wind up with a 6 in that column.
Since 7 is already more than 6 that means the only number that will work is 9 and there will be a carry of one into the hundredths place.

1.x29
+x.4x7
5.036

Now let's look at the tenths column. 2 becomes 3 in the answer and there was a carry of 1 from the thousandths so the other number must be a zero
1.x29
+ x.407
5.036 Now I need a number that goes with 4 and puts a zero in the answer.
That number has to be 6 and does cause a carry of one into the ones
place

1.629
+x.407
5.036

Finally (remembering there is a carry of one in the ones place) I have two (1 + 1 carried) toward my five in the answer. I need three more.

Here is the final example:
1.629
+3.407
5.036

7 0

3 years ago