Choose the congruence theorem that you would use to prove the triangles congruent.

Aisha ate 1/4 of the carrots in the bag. Enrique ate 3/12 of the carrots in the bag. Compare the amounts of carrots they each at

Neko [114]

The amount of carrots they each ate are the same because 12 is a multiple of 4. There are 3 4’s in one 12. If you multiply 1/4 times 3 you will get 3/12 because 1 x 3 = 3. And 4 x 3 = 12

7 0

3 years ago

In a recent year, 27.9% of all registered doctors were female. If there were 53,700 female registered doctors that year, what wa

Elis [28]

Answer:

The total number of registered doctors was 192,473.

Step-by-step explanation:

This question can be solved using a rule of three.

53700 is 27.9% = 0.279. The total number of registered doctors is x, which is 100% = 1. So

53700 doctors - 0.279

x doctors - 1

$0.279x = 53700$

$x = \frac{53700}{0.279}$

$x = 192473.11$

Rounding to the nearest whole number.

The total number of registered doctors was 192,473.

5 0

3 years ago

Find the value of x and y in the parallelogram below.

Delicious77 [7]

In a parallelogram, the opposite angles are equal and the sum of the angles is 360 degrees.

W = Z and Y = X
3y = 3x
Y = X = y
3y + y + 3x + x = 360
3x + x + 3x + x = 360
8x = 360
x = 360/8 = 45

Therefore, x = 45; y = 45

7 0

3 years ago

GIVING BRAINLIEST!! someone please help me with this

Vika [28.1K]

Answer:

Quesnel Lake:Lake Baikal=.31

Quesnel Lake:Great Slave Lake=.82

Step-by-step explanation:

1 foot = .3048 meters

Lake Baikal: 5369 ft. = 1636.4712 m

Great Slave Lake: 2015 ft. = 614.172 m

Quesnel Lake: 506 m

Quesnel Lake:Lake Baikal

$506 \div 1636.472 = .31$

Quesnel Lake:Great Slave Lake

$506 \div 614.172 = .82$

8 0

2 years ago

An HR director numbered employees 1 through 50 for an extra vacation day contest. What is the probability that the HR director w

forsale [732]

Answer:

The probability that the HR director will select an employee who is not a multiple of 13 is $\frac{47}{50}$

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- The probability of an event is the measure of the chance that the

event will occur

- The probability of an event A is the number of ways that event A can

occur divided by the total number of possible outcomes

- If P(A) is the probability of event A, is the probability that the event A

does not occur is 1 - P(A)

* <em>Lets solve the problem</em>

- An HR director numbered employees 1 through 50 for an extra

vacation day contest

∴ There are 50 employees

- The HR director will select an employee

- We need to find the probability of select an employees who is not

multiple of 13

* At first lets find the multiples of 13

∵ 13 × 1 = 13

∵ 13 × 2 = 26

∵ 13 × 3 = 39

∴ The multiples of 13 from 1 to 50 are 13 , 26 , 39

∵ There are 3 multiples of 13

∵ There are 50 numbers

∵ Probability of multiple of 13 = $\frac{3}{50}$

∵ Probability of not multiple of 13 = 1 - P(multiple of 13)

∴ Probability of not multiple of 13 = $1-\frac{3}{50}$

∴ Probability of not multiple of 13 = $\frac{47}{50}$

* The probability that the HR director will select an employee who is

not a multiple of 13 is $\frac{47}{50}$

4 0

3 years ago