MATHEMATICS HIGH SCHOOL

Find the value of x.
The polygons are similar, but not necessarily drawn to scale.

Answers

Answer 1

Answer:

Answer:

$x=10 units$

Step-by-step explanation:

Given: The polygons ABCD and JKLM are similar.

To find: The value of x.

Solution: Since, the given polygons are similar, therefore using the similarity condition, we have

$(AD)/(JM)=(CD)/(LM)$

Substituting the given values, we get

$(12)/(40)=(3)/(x)$

On cross multiplying, we get

$(3*40)/(12)=x$

$x=10 units$

Therefore, the value of x is 10 units.

Answer 2

Answer: $(12)/(40) = (3)/(x)$

Cross multiply:
$12x = 3 * 40$

Evaluate RHS:
$12x = 120$

Divide both sides by 12:
$x = 10$

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Which two solid figures have the same volume?A. A rectangular solid with a base of 6 cm2 and a height of 12 cm B. An oblique solid with a base of 6 cm2 and a slant height of 12cm C. A cone with a base of 6 cm2 and a height of 12 cm D. An oblique solid with a base of 6 cm2 and a height of 12 cm
What are the common factors of 15 and 27?

Tree pruning company A charges a one time $100 fee and $50 for each tree that they prune. Tree pruning company B charges a one time $80 fee and $60 for each tree that they prune.Let the variable t represent the amount trees pruned and c represent the cost. For how many pruned trees will the cost be the same for both companies?

Which system of equations can be used to solve this problem?

A. {c=150t
c=140t

B. {c=100−50t
c=80−60t

C.{c=100+50t
c=80+60t

D. {c=50+100t
c=60+80t

Answers

The answer to this question should be C

if you put the onetime fee as y intercept and rate as slope you will get the answer.

A: y=50x+100
B: y=60x+80

use desmos and the intersection is when the prices become the same

Which of the following could not be true for a function?Domain is {2}, Range is {2}
Domain is {2, 3}, Range is {2}
Domain is {2}, Range is {2, 3}
Domain is {2, 3}, Range is {2, 3}

Answers

C. hope this helps :::)

Answer:

I agree with C

Step-by-step explanation:

How do you find the length of arc and area of sector

Answers

To do this I must first determine what fraction of the circle is represented by the central angle 30°. Since there are 360° in a full circle, I can find the fraction of a circle by simplifying . The sector represents of the circle. To find the arc length, I now need to find the circumference of the entire circle.

How do you write 3.74 x 10^4 in standard form?

Answers

Answer:

37,400

Step-by-step explanation:

Whatever the number 10 is being squared by, you just move the decimal right if it is a positive number. In this case, it is 10 to the 4th power.

If you move the decimal in 3.74 four times to the right, you will get 37,400.

Answer:

37400

Step-by-step explanation:

move the decimal place over 4 to the right

Find the distance between the two points in simplest radical form.
(4,3) and (−2,0)

Answers

Answer:

Step-by-step explanation:

The simplest radical form would be the 3 square root 5. Since the answer would be the square root of 45, the simplest radical would be 3 square root 5

Find the inverse of f (x)=log(subscript 4) x