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STALIN [3.7K]
2 years ago
6

A pair of parallel lines are cut by a transversal. Which of the following statements about the new angle pairs are now always tr

ue?​

Mathematics
1 answer:
Hoochie [10]2 years ago
6 0

Answer:

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

Step-by-step explanation:

∵ Lines m and l are parallel

∵ Line t intersects them

∵ Corresponding angles are equal in measures

∴ ∠1 = ∠5 ⇒ corresponding angles

∴ ∠3 = ∠7 ⇒ corresponding angles

∴ ∠2 = ∠6 ⇒ corresponding angles

∴ ∠4 = ∠8 ⇒ corresponding angles

∵ The alternate interior angles are equal in measures

∴ ∠3 = ∠6 ⇒ alternate interior angles

∴ ∠4 = ∠5 ⇒ alternate interior angles

∵ The same side interior angles are supplementary

∴ m∠3 + m∠ 5 = 180° ⇒ same side interior angles

∴ ∠3 and ∠5 are interior supplementary angles

∴ m∠4 + m∠ 6 = 180° ⇒ same side interior angles

∴ ∠4 and ∠6 are interior supplementary angles

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

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boyakko [2]
\bf \textit{surface area of a cylinder}\\\\
S=2\pi r(h+r)\qquad 
\begin{cases}
h=height\\
r=radius
\end{cases}

looking at the picture above... you do have the radius, is just in the truncated part of the picture... so you have "h" and "r", so just plug them in
4 0
3 years ago
A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration
algol [13]

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}

(0.02a)+(0.05b)= 0.8

Multiplying the above equation by 100, we get

2a+5b=80 (Equation 2)

Substituting the value of a=25-b in equation 2, we get

2(25-b)+5b=80

50-2b+5b=80

50+3b=80

3b=30

b=10

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

7 0
3 years ago
NEED THIS DONE ASAP!! Thank you!!​
Dovator [93]

Answer:

x=40

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(DIFFERENCE of Intercepted Arcs)

x = 1/2(120-40)

x = 1/2(80)

x = 40

7 0
2 years ago
Read 2 more answers
The two amino acids animated above ​
andrew-mc [135]

Answer:

its peptide bond and water

Step-by-step explanation:

Two amino acids animated above are joined together by a PEPTIDE BOND and a form of a molecule of WATER in the process. Hope this helps Mate :)

3 0
3 years ago
Read 2 more answers
The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. Wh
Alla [95]

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

z=\frac{x-\mu}{\sigma}

Where z is the test statistic

x is what we are looking for (in this case 37)

\mu is the mean (in this case, it is 25)

\sigma is the standard deviation (we have 6)

<em>Plugging these into the formula, we get:</em>

z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2

Thus we can say we want P(z\geq 2)

<u>Note: </u> P(z\geq a)=1-P(z\leq a)

The table given is for any  z where P(z\leq a)

Thus, now we have:

P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

3 0
3 years ago
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