All categories

2 years ago

Find the value of x.

Mathematics

1 answer:

Mkey [24]2 years ago

4 0

Answer:

x = 36°

Step-by-step explanation:

Where a transversal crosses parallel lines, any obtuse angle it creates is supplementary to any acute angle it creates:

3x +2x = 180°

5x = 180° . . . . . . . . . collect terms

x = 180°/5 = 36° . . . . . divide by 5

You might be interested in

Bedroom has a perimeter of 46 feet. If the length is 11 feet, what is the width?

rjkz [21]

Perimeter is L+W+L+W=2L+2W by definition
L=11 so 46=2*11+2W
46=22+2W
46-22=2W
24=2W
W=24/@
W=12

4 0

3 years ago

Read 2 more answers

Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

<u>Separate the solutions</u>

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

2 years ago

3. the smallest number by which 168 must be multipled to get the perfect square number. ICA) 3 1(B)2 (c) 4 (o)5

kaheart [24]

Answer:

Step-by-step explanation:

168 factors into

2•2•2•3•7

two of the 2's make a perfect square

(2•2)•2•3•7

2²•2•3•7

as none of the product of the remaining factors makes a perfect square

2•3 = 6, 2•7 = 14, 3•7 = 21

we need to multiply the remaining factors together to find another perfect square

2²•(2•3•7)²

2•3•7 = 42

42(168) = 7056 = 84²

5 0

3 years ago

In the diagram below, AB || CD, EF || GH, and m m

Ne4ueva [31]

Answer:

Angle AJL=54

Step-by-step

3 0

3 years ago

Sam bought a kite that he could do stunts with for $52. If he

seraphim [82]

Answer:

8.5%

Step-by-step explanation:

8.50% of 52= 4.42

5 0

3 years ago