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mojhsa [17]
3 years ago
15

Find the missing side b in a right triangle where a=8 and c=18

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
Using Pythagorean theorem c^2=a^2 + b^2, we can find the missing side b.
Put values in equation.
18^2 = 8^2 + b^2
324=64+b^2
Subtract 64 from both sides
260= b^2
Take square root.
2√65=b
or
b=16.12


Answer: b=2√65  Radical form. or b=16.12 Decimal form.
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7 0
3 years ago
AB and DE are chords that intersect at point F inside circle C as shown. If the measure of arc EA= 50 degrees and the measure of
defon

Answer:

Part 1) m\angle AFE=55^o

Part 2) m\angle EFB=125^o

Step-by-step explanation:

Part 1) what is the measure of angle AFE

we know that

The measure of the interior angle is the semisum of the arches that comprise it and its opposite.

<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)

so

m\angle AFE=\frac{1}{2}(arc\ EA+arc\ DB)

substitute the given values

m\angle AFE=\frac{1}{2}(40^o+70^o)=55^o

Part 2) what is the measure of angle  EFB?

we know that

m\angle AFE+m\angle EFB=180^o ---> by supplementary angles (form a linear pair)

so

substitute the given value

55^o+m\angle EFB=180^o

m\angle EFB=180^o-55^o=125^o

8 0
4 years ago
Can u help me with this question please
Levart [38]
The graph is linear because it is a straight line with a constant slope. Can u mark me brainliest, thank, rate 5 stars and have a good day!
5 0
3 years ago
Read 2 more answers
6. Find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel
prisoha [69]
<h3><u>The equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel  to the line -5x + 4y = 8 is:</u></h3>

y = \frac{5}{4}x + 13

<em><u>Solution:</u></em>

Given that,

We have to find the equation in slope-intercept form for the line that passes through the point (-8, 3) and is parallel  to the line -5x + 4y = 8

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line

From given,

-5x + 4y = 8

Rearrange to slope intercept form

4y = 5x + 8

y = \frac{5x}{4} + \frac{8}{4}\\\\y = \frac{5x}{4} + 2

On comparing the above equation with slope intercept form,

m = \frac{5}{4}

We know that, slopes of parallel lines are equal

Therefore, slope of line parallel  to the line -5x + 4y = 8 is:

m = \frac{5}{4}

\text{Substitute } m = \frac{5}{4}\ and\ (x, y) = (-8, 3) \text{ in eqn 1}

3 = \frac{5}{4} \times -8 + c\\\\3 = -10 + c\\\\c = 13

Substitute c = 13 and m = 5/4 in eqn 1

y = \frac{5}{4}x + 13

Thus the equation of line in slope intercept form is found

6 0
4 years ago
What is the slope of the line shown?
Mekhanik [1.2K]

Answer:

1/2

Step-by-step explanation:

basically just remember the basic rise over run!

the y intercept is -3 the rise is one and to run over the next exact point is 2

7 0
3 years ago
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