Question 1
1. Which expression is equivalent to 4(2x + 3)?
A. 4 + 2x + 4 +3
B. 8x + 12
C. 8x + 3
D. 4 + 2x + 12
СА
OB
oc
CD

Answer:

4 25/18

Step-by-step explanation:

Answer:

[tex]\displaystyle ST ≈ 15,9\\ RT ≈ 30,8 \\ m∠S = 111°[/tex]

Step-by-step explanation:

First off, find [tex]\displaystyle m∠S:[/tex]

[tex]\displaystyle 180° = 58° + 31° + m∠S → 180° = 89° + m∠S \\ 111° = m∠S[/tex]

Now that the third angle has been defined, we can move move forward with solving for a second edge, using the Law of Sines, but before proceeding, here are some things you should know about this triangle:

Now that we have the information, we can proceed with the process:

[tex]\displaystyle \frac{t}{sin∠T} = \frac{s}{sin∠S} = \frac{r}{sin∠R} \\ \\ \frac{28}{sin\:58°} = \frac{s}{sin\:111°} → \frac{28sin\:111°}{sin\:58°} → 30,82402055... = s \\ 30,8 ≈ s[/tex]

_______________________________________________

Now that RT has been defined, we can now proceed to solving the third edge, using the Law of Cosines:

[tex]\displaystyle s^2 + r^2 - 2sr\: cos∠T = t^2 \\ t^2 + r^2 - 2tr\: cos∠S = s^2 \\ t^2 + s^2 - 2ts\: cos∠R = r^2 \\ \\ 28^2 + 30,8^2 - 2[28][30]\: cos\:31° = r^2 → 784 + 948,64 - 1680\: cos\:31° = r^2 → \sqrt{254,1978397...} = \sqrt{r^2} → 15,94358303... = r \\ 15,9 ≈ r[/tex]

Your triangle is now complete!

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

In this case, you would use law of sines due due you being given two angles and one side.

LAW OF ANGLES IN TRIANGLES: 180 - a - b = c

So in this case: 180 - 31 - 58 = m<S = 91

LAW OF SINE: sin A / a = sin B / b = sin C / c

So in this case: sin 31 / ST = sin 58 / 28

28 sin 31 / sin 58 = ST = 17.0

sin 58 / 28 = sin 91 / x

28 sin 91 / sin 58 = RT = 33.0

Answer:

27 inches or 2 feet 3 inches

Step-by-step explanation:

78-51=27

Answer:

C. x = 5

Step-by-step explanation:

[tex]2x - 1 = 9[/tex]

[tex]2x = 9 + 1[/tex]

[tex]2x = 10[/tex]

[tex]x = 5[/tex]

Answer:

2,624 cm²

Step-by-step explanation:

Answer:

2(3.5g - 4.5h)

Step-by-step explanation:

factoring the expression (i think that what its called) i divided the expression into two and then put two on teh isde of the parenthesis to show that you multiply it again

Answer:

No solution

Step-by-step explanation:

I got it right on delta math, just dont write anything and turn that in and it should be correct.

Answer:

yrheyetegegetehegehehdhdbdhehehehrhrhthrjfucchffjjd ftfju

Answer:

4xy are binomials because it only had one term

Answer:

the answers are B, C, E

Step-by-step explanation:

x2y – 3x

6y2 – y

4xy –  two-fifths

Answer:

The angle measure is 43 degrees

Step-by-step explanation:

The right angle adds up to 90 degrees in whole, you already have 47 degrees so you want to subtract 47 from 90, then you will get your answer.

Answer:

x = -30

Step-by-step explanation:

I'm assuming you want us to find the value of x, so:

–3/5x + 5 + x = –7

Subtract 5 from both sides

-3/5x + x = -12

multiply by -1

3/5x - x = 12

add like terms:

-2/5x = 12

multiply by -2.5

x = -30

Answer:

There are 42 dogs and 105 cats at the shelter. To find the number of rabbits, subtract these numbers from the total number of animals at the shelter. So there are 21 rabbits at the shelter.

Step-by-step explanation:

Because there are 168 animals at the shelter and [tex]\frac{1}{4}[/tex] of the animals are dogs, you can infer that there are [tex]\frac{168}{4}[/tex] or 42 dogs at the shelter. The question says that [tex]\frac{5}{6}[/tex] of the remaining animals are cats, which you can get two things from this statement: #1, [tex]\frac{5}{6}[/tex] of the remaining animals (not including dogs) are cats in the shelter. #2, [tex]\frac{1}{6}[/tex] of the remaining animals (not including dogs) are rabbits in the shelter, since that is the remaining number of animals left that aren't cats or dogs. Using this, you can get the number of cats is the number of dogs subtracted by the total number of animals at the shelter and multiplied by [tex]\frac{5}{6}[/tex], which would be  [tex]\frac{5}{6}[/tex](168 - 42) = [tex]\frac{5}{6}[/tex]*126 = 5 * 21 = 105 cats at the animal shelter. Since the number of rabbits is [tex]\frac{1}{5}[/tex] the number of cats in the shelter ([tex]\frac{5}{6}[/tex] = [tex]\frac{1}{6}[/tex] * 5), that means there are [tex]\frac{105}{5}[/tex] or 21 rabbits at the animal shelter, and that we'd need to subtract the number of cats and dogs from the total number of animals at the shelter to find the number of rabbits.

Answer:

Zoom in and mark me as brainliest

Answer:

There are 7 red marbles

Step-by-step explanation:

1/8=x/56

x= 56/8

x= 7

Answer:

150 miles

Step-by-step explanation:

(50 mph)(3 hrs) = 150 miles

Answer:

40% of 300=120

Step-by-step explanation:

40% of 300= 40/100 x 300= 40x3= 120 students

Answer:

The area of the trapezoid is 57.5 in.²

Step-by-step explanation:

The given information of the trapezoid are;

The vertices of the trapezoid = QRST

The altitude of the trapezoid = 5 in.

The shape the altitude divides the trapezoid into = A square and an isosceles right triangle

The long side of the rectangle = 9 in.

Therefore, we have;

The legs of an isosceles right triangle are equal

Given that one of the legs of the isosceles right triangle = The altitude of the triangle = 5 in.

Therefore, for the isosceles triangle, the length of the other leg = 5 in.

Therefore;

The area of the right triangle = 1/2 × Base × Height (altitude)

The area of the right triangle = 1/2 × Leg × leg = 1/2 × (Leg)²

∴ The area of the right triangle = 1/2 × 5 in. × 5 in. = 12.5 in.²

The length of the rectangle is given as l = 9 in.

The height of the rectangle, h = The altitude of the rectangle = 5 in.

The area of the rectangle, A = l × h

∴ The area of the rectangle, A = 9 in. × 5 in. = 45 in.²

The area of the trapezoid = The area of the right triangle + The area of the rectangle

The area of the trapezoid = 12.5 in.² + 45 in.² = 57.5 in.²

Answer:

Man yur tripping playstation better jhit

Step-by-step explanation:

Answer:

170 pages

Step-by-step explanation:

Answer:

Angle b= angle c =83degree

Angle d =97degree

Step-by-step explanation:

Since isosceles:

Angle b =angle c

Angle a= angle d

Angle d =a=97

Sum of quadrilateral inner degrees:360

(360-2x97)/2=b=c=83

Answer:

Answer:

Angle b= angle c =83degree

Angle d =97degree

Step-by-step explanation:

Since isosceles:

Angle b =angle c

Angle a= angle d

Angle d =a=97

Sum of quadrilateral inner degrees:360

(360-2x97)/2=b=c=83

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The Pythagorean theorem only works for right triangles. A right triangle has one 90-deg angle. This triangle has no 90-deg angle, so it is not a right triangle, and the Pythagorean theorem does not work to solve it.

Answer: A

Answer:

550

4 + 4 + 8 + 8 + 10 + 16 + (50 x 10)

Step-by-step explanation:

Answer:

550 is the answer

..............

Answer:

Zero

Step-by-step explanation:

a=0

So a is neither positive nor negative, its zero.

Please mark brainliest to get your points back!

I think its option c, if you reflect it over the y axis it will be right above it and if you go 270 degrees counter clockwise thats like going from 9 pm to 12 am

12 am is right above 9 pm but it occurs before 9pm.

Answer:

1.25 hours

Step-by-step explanation:

Benjamin rode tghe train for 45 minutes. Then it took him another 30 minutes to walk to his friend's house. How many hours did he spend riding and walking to his friend's house?

The number of hours he spent riding and walking to his friends house is calculated as:

45 minutes + 30 minutes

= 75 minutes

Converting this to hours

60 minutes = 1 hour

75 minutes = x

Cross Multiply

60 × x = 75 × 1

x = 75/60

x = 1.25 hours

Answer:

(x+12)(x+12)-x^2

x^2 + 2(12)(x)+12^2-x^

=24x+144

Step-by-step explanation:

RQ × RP = RS × RT

9 × ( 9 + 13 ) = 11 × RT

9 × 22 = 11 × RT

Divide sides by 11

9 × 22 / 11 = 11 × RT / 11

Simplification

9 × 2 = RT

RT = 18

Answer: RT=18

Step-by-step explanation: I’m going to be using this formula: RQ•RP=RS•RT

9•22=198

ST=7

11•18=198

Therefore RT=18