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lakkis [162]
3 years ago
9

Measure of angle LOI= 38 degrees Measure of angle JOP= 84 degrees Find measure of angle JKP

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer:

The measure of angle JKP is 61°

Step-by-step explanation:

we know that

If the measure of angle m<LOI=38°

then

m arc IL=38° -----> by central angle

and

If the measure of angle m<JOP=84°

then

m arc JP=84° -----> by central angle

Remember that

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

so

m<JKP=(1/2)[arc IL+arc JP]

substitute the values

m<JKP=(1/2)[38°+84°]=61°

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A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an an
Svetllana [295]

Answer:

3 feet

Step-by-step explanation:

A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground.

 ladder is 12 foot

The ladder makes an angle of 60 degrees with the ground.

It form a right angle triangle . ladder is the hypotenuse

cos(60)=\frac{x}{12}

0.5= \frac{x}{12}

multiply 12 on both sides

x= 6

the distance from the base of the ladder to the bottom of the fence

x-3 = 6-3=3 feet

7 0
3 years ago
Is the expression x3•x3•x3 equivalent to x3•3•3
avanturin [10]

Answer:

Yes

Step-by-step explanation:

So I'll assume that x3 is 3x -->

so 3x • 3x • 3x =? to 3x • 3 • 3?

You can first simplify this to 3^3x =? to 3x • 9 -->

27x =? to 3x • 9 => so there are many solutions but if per say x = 5 then yes it would be equal.

Check with another number per instance 8

27(8) = 216 => 24(9) = 126

Yes they are equal

Hope this helps!

3 0
3 years ago
Does 2 1/4-6/7=1 3/4
dimulka [17.4K]

Answer: No, it would be 2/5.


Step-by-step explanation: 2 1/4 - 6/7 is equal to about 1.4 when rounded to the nearest tenth. 1.4 as a fraction would be 4/10. 4/10 is simplified to 2/5 by dividing each number by 2.


7 0
3 years ago
Correct answer gets 5 stars and brainliest
ozzi

Answer:

  • Option C

Step-by-step explanation:

Find the equation of the graphed line.

<u>Use 2 points, (0, -6) and (2, 4)</u>

  • m = (4 + 6)/2 = 5
  • b = -6

<u>The equation is:</u>

  • y = 5x - 6

<u>Compare with the given line y = 4x + 2</u>

  • 5 > 4 and -6 < 2

Correct answer choice is c

6 0
3 years ago
Calculate the product of and 1/5 +2/9=
Phantasy [73]
\frac{1}{5}~+~ \frac{2}{9}

Find the same denominators

\frac{9}{45}~+~ \frac{10}{45}

\frac{9~+~10}{45}

\frac{19}{45}

Answer = \frac{19}{45}



5 0
3 years ago
Read 2 more answers
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