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3 years ago

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.

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

substitute the values

m<JKP=(1/2)[38°+84°]=61°

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A number of robbers were discussing how best to share some stolen rolls of

kupik [55]

Answer:

Step-by-step explanation:

Let the number of robbers be x

If they share 6 rolls each, the tota rolls will be 6x and since they have five remainder, the overall total is then 6x+5

In case they share 7 rolls each, it means they have 7x rolls but here they will be less 8 rolls hence 7x-8 is the overall total.

Equating these two

7x-8=6x+5

Arranging similar terms

7x-6x=8+5

x=13

Therefore, the robbers are 13

The rolla they have will be

6(13)+5=83

7(13)-8=83

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3 years ago

Plz help me on this question

Alenkasestr [34]

Answer:

Step-by-step explanation:

The 20th of February for seven nights:

Mr. Jones: 714

Mrs. Jones: 714

Child 1: 95% of 714 = 678.30

Child 2: 95% of 714 = 678.30

Total Price: 2784.60

The 10th of April for fourteen nights:

Mr. Jones: 802

Mrs. Jones: 802

Child 1: 85% of 802 = 681.70

Child 2: 85% of 802 = 681.70

Total Price: 2967.40

The 10th of April for fourteen nights is 182.80 pounds greater than the 20th of February for seven nights.

5 0

3 years ago

A regular convex polygon has eight sides. What is the measure of an exterior angle?

PSYCHO15rus [73]

Answer:

The measure of one exterior angle is 45 degrees.

Step-by-step explanation:

The formula to find exterior angle of and shape is 360 degrees divided by n (number of sides the shape has). 360 divided by 8 = 45 degrees.

4 0

3 years ago

Read 2 more answers

The millers are going to put a pool in their backyard this summer. The pool will have a depth of 5 feet, and the dimensions show

erica [24]

Answer:

D : 510 units

Step-by-step explanation:

NOTE:

Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)

WORK:

I broke down this shape into two rectangles with the following dimensions:

- 12 meters by 5 meters

- 3 meters by 14 meters

You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)

Using this information, you can now solve for the volume of each of the rectangles

12*5*5 = 300 units

3*14*5 = 210 units

Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals

510 units

3 0

2 years ago

Number 2 I need help on how to solve it

Hunter-Best [27]

Let's simplify the following expression:

$\text{ }\frac{\text{ \lparen2x}^4\text{ - y}^6\text{z}^{-4})^2}{\text{ 2x}^2\text{z}^3}\text{ }\cdot\text{ }\frac{\text{ 6x}^5\text{y}^{-4}\text{z}^{-5}}{\text{ \lparen2x}^6\text{y}^3\text{z}^{-3})^2}$

We get,

$\text{ }\frac{(\text{2x}^4\text{ - y}^6\text{z}^{-4})^2}{\text{ 2x}^2\text{z}^3}\text{ }\cdot\text{ }\frac{6x^5y^{-4}z^{-5}}{(2x^6y^3z^{-3})^2}$ $\text{ }\frac{(2x^4-y^6z^{-4})^2(6x^5y^{-4}z^{-5})}{(2x^2z^3)(2x^6y^3z^{-3})^2}$ $\text{ }\frac{(4x^8\text{ - 4x}^4y^6z^{-4}\text{ + y}^{12}z^{-8})(6x^5y^{-4}z^{-5})}{(2x^2z^3)(4x^{12}y^6z^{-6})}$ $\text{ }\frac{24x^{13}y^{-4}z^{-5}\text{ - 24x}^9y^2z^{-9}\text{ + 6x}^5y^8z^{-13}}{8x^{14}y^6z^{-3}}$

4 0

1 year ago