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3 years ago

Which pairs of angles in the figure below are verticle angles? Check all that apply.

Mathematics

1 answer:

vazorg [7]3 years ago

3 0

Answer:

correct answer options are ; C and D

Step-by-step explanation:

By definition, vertical angles are those that are opposite each other when two lines cross and are equal.

Observing the given options;

C. ∠LRE and ∠FRA

D.∠TRF and ∠NRL

In the other options given, it could have been correct if stated as;

A. ∠ARS and ∠ERO

B. ∠NRA and ∠TRE

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at Herman's Bakery 40% of the total cookies made last week where oatmeal cookies. if 20 cookies were oatmeal how many total cook

Doss [256]

Answer:

50 cookies were made last week

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3 years ago

51. The formula d=rt gives the

Reil [10]

Answer:

C. 56

Step-by-step explanation:

252/4.5=56

Using the formula you can get this answer

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3 years ago

Find the measure of /_ MFZ

marshall27 [118]

Given:

$MZ\cong PZ$

$m\angle MFZ=(x+9)^\circ$

$m\angle PFZ=(2x-1)^\circ$

To find:

The measure of angle MFZ.

Solution:

In triangles MFZ and PFZ,

$m\angle FMZ\cong \angle FPZ$ (Right angle)

$MZ\cong PZ$ (Given)

$FZ\cong FZ$ (Common side)

$\Delta MFZ\cong \Delta PFZ$ (HL congruent postulate)

$\angle MFZ\cong \angle PFZ$ (CPCTC)

$m\angle MFZ=m\angle PFZ$

$x+9=2x-1$

$9+1=2x-x$

$10=x$

The value of x is 10.

The measure of angle MFZ is:

$m\angle MFZ=(x+9)^\circ$

$m\angle MFZ=(10+9)^\circ$

$m\angle MFZ=19^\circ$

Therefore, the measure of angle MFZ is 19 degrees.

7 0

2 years ago

A survey showed that 77% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 22 adults are

Sveta_85 [38]

Answer:

The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight correction .

Step-by-step explanation:

A survey showed that 77% of adults need correction for their eyesight.

If 22 adults are randomly selected, find the probability that no more than more than 11 of them need correction for their eyesight.

n =22

p = 0.77

q = 1-p = 1- 0.77=0.23

We are supposed to find $P(x\leq 11)$

$P(x\leq 11)=P(x=1)+P(x=2)+P(x=3)+.....+P(x=11)$

Formula : $P(x=r)=^nC_r p^r q^{n-r}$

$P(x\leq 11)=^{22}C_1 (0.77)^1 (0.23)^{22-1}+^{22}C_2 (0.77)^2 (0.23)^{22-2}+^{22}C_3 (0.77)^1 (0.23)^{22-3}+.....+^{22}C_{11} (0.77)^1 (0.23)^{22-11}$

Using calculator

$P(x\leq 11)=0.00512$

So, The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight correction .

3 0

3 years ago

a runner is 7/8 mile from the finsh line. she can travel 3/8 mile per minute,how long will it take her to finsh the race

Simora [160]

I hope this helps you

if 3/8 miles per a hour

7/8 miles ? hour

?.3/8=7/8.1

?=7/3

?=2,3333... hour

4 0

3 years ago