Solve and write your answer as a fraction

Answer:

∠1 = 137

∠2 = 43

∠3 = 137

Step-by-step explanation:

∠2 and 43 are alternate interior angles.

Alternate interior angles are equal.

So,

∠2 = 43.

∠1 and ∠3 are also alternate interior angles,

So,

∠1 = ∠3

∠1 and 42 are linear pair angles.

Sum of linear pair angles is 180,

∠1 + 42 = 180

∠1 = 180 - 43

∠1 = 137

Since,

∠1 = ∠3

So,

∠3 = 137

Hence,

∠1 = 137

∠2 = 43

∠3 = 137

Note : -

Alternate interior angles and linear pair angles are properties of angles.

And are applicable when two lines intersect or more than two lines interest.

Answer:

387

Step-by-step explanation:

Answer:

387

Step-by-step explanation:

13+5

18*21

378+9

=387

Answer:

the table of values?

Step-by-step explanation:

Answer:

125.05

Step-by-step explanation:

Used a calculator lol

Answer:

tan T = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

using the identity

tan T = [tex]\frac{sinT}{cosT}[/tex] = [tex]\frac{0.8}{0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

Answer:

d

Step-by-step explanation:

Hey there!

How to calculate Surface area

Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).

Step 2: Find the product of the length of the prism and the perimeter of the base triangle which will give the lateral surface area = (S1 + S2 + h) × l.

Step 3: Add all the areas together to get the total surface area of a right triangular prism in square units. This means, total surface area of a right triangular prism = (S1 + S2 + h) × l + bh

⇒ SA = (12 + 15 + 9) × 6 + (12)(9)

⇒ SA = (36)(6)+(108)

⇒ SA = 324 square units

Thus, the surface area of the right triangular prism is 324 square units.

Answer:

(-2, 10)

Step-by-step explanation:

All you have to do is add 4 to -6 and add 5 to 5. Since it was moved 4 units down and 5 units left, that means that those numbers were subtracted from the original coordinates. Although you are trying to find the original points, so instead you add 4 and 5 to the coordinates you have right now.

I hope that makes sense!

The water level will be 10 feet or lower by tomorrow, the correct inequality for this is x [tex]\leq \\[/tex] 10. Hence, the first option is the correct one.

A connection in mathematics that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are used:

These relationships are referred to be stringent inequalities since an is either strictly less than or strictly greater than b in these cases.

According to the question,

water will be equal to 10 feet or lower than 10 feet it cannot be greater than 10 feet.

Assume water is represented by x.

For water equal to 10 feet: x = 10 feet and,

For water lower than 10 feet: x < 10 feet.

So, we can write both like this: x [tex]\leq[/tex] 10

This concludes that the first option is correct.

To get more information about inequality :

https://brainly.com/question/28823603

#SPJ5

Answer:

10 in

Step-by-step explanation:

Volume of a Cylinder :

V = pi r² h

h = V / pi r²

h = 10,000pi / pi 32²

simplify pi

h = 10,000/1024 = 9.76

h = approx 10 in

cylinder volume = base area x height

                           = pi x r² x h

                           ≈ 3,14 x 7² x 10 ≈ 1500

Answer:

[tex]\frac{1}{650}[/tex]

Step-by-step explanation:

There are 52 cards in a deck. 4 of them are aces. Hence, one probability of you drawing an ace is [tex]\frac{4}{52}[/tex], or [tex]\frac{1}{13}[/tex]. 13 times 500 is 650. Hence, the answer is 1/650.

Answer:

(15 + 6) · t = 81

Answer:

15

Step-by-step explanation:

Answer:

9 and 135

Step-by-step explanation:

The GCF is 9, and 135 is divisble by 9. The GCF of a standalone number is itself, and the aforementioned divisibility of 135 by 9 rules 9 as one of the numbers. Since 9 is a multiple of 135, and 9 can multiply to be 135, this makes the second number 135.

Answer:

=−4

Step-by-step explanation:

10−10−1−3

=0−1−3

=−1−3

=−4

Given:

The function g(t) represents the amount of caffeine remaining in your body after drinking the coffee.

[tex]g(t)=130(.8246)^t[/tex]

where t is time in hours.

To find:

The caffeine remains in your system after day 1.

The caffeine remains in your system after day 2.

Solution:

We know that,

1 day = 24 hours.

2 day = 48 hours.

The given function is

[tex]g(t)=130(.8246)^t[/tex]

Substitute t=24 in the given function to find the remaining caffeine in the system after day 1.

[tex]g(24)=130(.8246)^{24}[/tex]

[tex]g(24)=130(0.00977)[/tex]

[tex]g(24)=1.2701[/tex]

Therefore, the remains caffeine in your system after day 1 is about 1.2701.

Substitute t=48 in the given function to find the remaining caffeine in the system after day 1.

[tex]g(48)=130(.8246)^{48}[/tex]

[tex]g(48)=130(0.000095)[/tex]

[tex]g(48)=0.01235[/tex]

[tex]g(48)\approx 0.0124[/tex]

Therefore, the remains caffeine in your system after day 1 is about 0.0124.

Answer: for one day, it’s 0.0124

Step-by-step explanation:1d=24h

g(24)

Answer:

the least common denominator for 3 and 6 is 6

Answer:

40

Step-by-step explanation:

4 right angled triangles

Answer:

150/100

Step-by-step explanation:

Answer:

z= 150

Step-by-step explanation:

Answer:

f(-1)=8

f(3)=-4

Step-by-step explanation:

when x equals -1 you substitute -1 for x in the equation which would look like 5-3(-1) which you would then multiply -3 by -1 and get 3 which 5+3 would equal 8 so f(-1) equals 8

When x equals 3 you substitute 3 for x in the equation which would look like 5-3(3) which you would then multiply -3 by 3 which would give you 5-9 which equals -4 so f(3) equals -4

Answer:

F(t)=6t+15t^2−16/3 t^3 + C

Step-by-step explanation:

hope this helps

Answer:

5.75

Step-by-step explanation:

14 - 8.25 = 5.75

Answer:

Angle A: 52.5

Angle B: 68.9

Angle C: 58.6

Step-by-step explanation:

Brainliest?

:)

1.5 dollars per candy bar because 13.50 divided by 9 is 1.5 :)

Answer:

The answer i as c

Step-by-step explanation:

Answer:

Answer is -5!

Step-by-step explanation:

Answer: x = -5

Explanation:

6-x-x=16

6-2x=16

6-6-2x=16-6

-2x=10

-2x/-2=10/-2

x = -5

Answer:

c > 9

Step-by-step explanation:

[tex]\dfrac{2c}{3}+1 > 7[/tex]

Subtract 1 from both sides:

[tex]\implies \dfrac{2c}{3} > 6[/tex]

Multiply both sides by 3:

[tex]\implies 2c > 18[/tex]

Divide both sides by 2:

[tex]\implies c > 9[/tex]

hello

2 c /3 + 1 > 7

2 c /3  > 21/3 - 3/3

2 c > 18

c > 9

] 9 : + ∞ [