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Lubov Fominskaja [6]
3 years ago
9

In the figure, PA and PB are tangent to circle O and PD bisects ∠BPA . The figure is not drawn to scale. For m

Mathematics
1 answer:
Mademuasel [1]3 years ago
3 0

Angle AOC = 46°   Find angle BPO

We have congruent right triangles PAO and PBO, right angles A and B.

So AOC=BOC=46 degrees,

PBO is a right angle so BPO is complementary to BOC, so 42 degrees

Answer: 42 degrees

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The sum of two consecutive integers is 65. what are the two integers? show steps please.
Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

\triangle~\fbox{\bf{KEY:}}

  • Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

\longmapsto\sf{x+x+1=65}

Combine like terms:

\longmapsto\sf{2x+1=65}

Subtract 1 from both sides of the equal sign:

\longmapsto\sf{2x=64}

Divide both sides by 2:

\longmapsto\sf{x=32}

To find the second integer, subtract the first integer from the sum of the two integers:

\longmapsto\pmb{65-32}

\longmapsto\pmb{33}

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0
2 years ago
4. Jonathan takes his dog to be groomed. The fee to groom the dog is $80 plus 6.75% tax.
frutty [35]

Step-by-step explanation:

Tax charge

80 × 6.75/100 = 5.4

Cost + tax charge

80 + 5.4 = 85.4

Tip (15% of cost and tax)

85.4 × 15/100 = 12.81

(Cost + tax charge + tip)

85.40 + 12.81 = 98.21

therefore, $95 is not enough.

3 0
3 years ago
Find the value of x that makes ABCD a parallelogram.
olganol [36]

The angle 5x will be 50⁰. Then the correct option is D.

<h3>What is a parallelogram?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

The diagram is given below.

We know the sum of internal angles is 360 degrees.

Then we have

5x + 130 + 5x + 130 = 360

                         10x = 100

                             x = 10

Then the angle 5x will be

5x = 5(10)

5x = 50⁰

Then the correct option is D.

More about the parallelogram link is given below.

brainly.com/question/1563728

#SPJ1

4 0
2 years ago
Help! This is so confusing please
Rus_ich [418]

Given equation is f(x)=6^x

Now it says to find f(2)

that simply means plug x=2 because we see that 2 is written in place of x in f(x) and f(2)

f(2)=6^2

f(2)=6*6

f(2)=36

Hence final answer is f(2)=36

4 0
3 years ago
Read 2 more answers
Please solve and find CE​
mixas84 [53]

Answer:

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Step-by-step explanation:

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