MATHEMATICS MIDDLE SCHOOL

Finding KLM in this problem, if you could also explain it, that would be nice :)

Answers

Answer 1

Answer:

The measure of angle KLM is 37°.

Solution:

Given data:

m(ar JN) = 140° and m(ar KM) 66°

To find the angle KLM:

If two secants intersect outside a circle, then the measure of angle formed is one half of the difference of the measures of the intercepted arcs.

$$\Rightarrow\angle KLM=(1)/(2)(m(ar \ JN)-m(ar \ KM))$

$$\Rightarrow\angle KLM=(1)/(2)(140^\circ-66^\circ)$

$$\Rightarrow\angle KLM=(1)/(2)(74^\circ)$

$$\Rightarrow\angle KLM=37^\circ$

The measure of angle KLM is 37°.

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Round 768 to the nearest 10

Answers

Answer: 770

Step-by-step explanation: To round 768 to the nearest 10, we first find the digit in the rounding place which in this case is the 6 in the tens place.

Next, we look at the digit to the right of the 6 which is 8. According to the rules of rounding, since the digit to the right of the rounding place is greater than or equal to 5, we round up.

So in this problem, since 8 is greater than or equal to 5, we round down. This means that the digit in the rounding place which is 6 moves up to 7 and we add a 0 to all the digits that are right of 7.

Therefore, 768 rounded to the nearest 10 is 770.

770 because the 1 is higher than 5 so you round up

How do i rearrange a(x-y)=b(z-x) to make x the subject?

Answers

Answer:here's ur answer

Step-by-step explanation:

A cylinder has a volume of 321 cubic units. If a cone has the same height and radius as the cylinder, what is the volume in cubic units?A.107 cubic units
B.214 cubic units
C.642 cubic units
D.963 cubic units

Answers

The volume of the cone which has the radius and height same as the cylinder of volume 321 cubic units is 107 cubic units.

What is the volume?

A cylinder is defined as a surface made up of all the points on all the parallel lines that pass through a set plane curve in a plane that is not parallel to the provided line.

The volume of the cylinder is given by the formula,

$\text{Volume of cylinder} = \pi r^2 h$

$321 = \pi r^2 h$

Now, as it is given that the radius and the height of the cone are the same, therefore, the volume of the cone can be written as,

$\text{Volume of cone} = \frac13 \pi r^2 h$

As we know the value of πr²h, therefore, substitute the value,

$\rm\text{Volume of cone} = \frac13 * 321 = 107\ units^3$

Thus, the volume of the cone which has the radius and height same as the cylinder of volume 321 cubic units is 107 cubic units.

Learn more about Cylinder:

brainly.com/question/3216899

Cone's volume is third of cylinder's volume, so 321*1/3=107 cubic units. Answer A. is correct.

Out of the 40 students in the 7th grade 60% of the students carry cell phones. What fraction of the students carry a cell phone?

Answers

if you have 60% out of 40 students that is 24 students

The answer is 24 students. The fraction is 24/40. The fraction in simplest form is 3/5.

Find 2 numbers thats sum to 21 and the sum of squares is 261

Answers

15 and 6.

15+ 6 = 21

15^2 + 6^2 = 261

3 2/3 × 1 3/4 ((please help ))

Answers

The answer is 6 5/12. You have to find a common denominator and then multiply the fraction. Hope this helps!

convert those 2 number into improper fractions to make it easy:
3 2/3 --> 11/3
1 3/4 -->7/4

the new problem is:
11/3 x 7/4

just multiply across now
11/3 x 7/4 = 77/12

im guessing your teacher wants the answer as a mixed number so convert 77/12 into a mixed number:
12 x 6=72 (the whole number is 6)
77-72=5 (5 is the numerator)

answer: 6 5/12

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