In the figure below, parallel lines AB and CD are cut by transversals AC and BD They intersect at E. Two angle measures are given. What is the measure of angle ABD?

20 points to help me

Answer:

x = 14

4x = 56

3x - 8 = 34

Step-by-step explanation:

(4x) + (3x -8) = 90

7x + (-8) = 90

7x - 8 = 90

7x (- 8 + 8) = 90 + 8

7x = 98

7x/7 = 98/7

x = 14

4 x 14 = 56

3 x 14 = 42 - 8 = 34

56 + 34 = 90

Answer:

volume of cylinder= πr²h

Step-by-step explanation:

volume of cylinder = πr²h

hope it is helpful to you

Given:

Selling price (S.P.)= $4,600

Cost price (C.P.)= $4,000

To find:

The profit percentage.

Solution:

Formula used:

[tex]\text{Profit}\%=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

Using this formula, we get

[tex]\text{Profit}\%=\dfrac{4600-4000}{4000}\times 100[/tex]

[tex]\text{Profit}\%=\dfrac{600}{40}[/tex]

[tex]\text{Profit}\%=15[/tex]

Therefore, the profit percentage is 15%.

Slope = Y2-Y1/X2-X1 = 7-(-3)/3-(-2)= 10/5 = 2

Answer:

B. 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify points from graph

Point (-2, -3)

Point (3, 7)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

x=25

Step-by-step explanation:

We know vertical angles are equal

<A = <B

7x-8 = 6x+17

Subtract 6x from each side

7x-6x-8 = 6x-6x+17

x-8 = 17

Add 8 to each side

x-8+8 = 17+8

x=25

Answer:

the answer is the second one

Answer:

75 grams

Step-by-step explanation:

We need to write a ratio to solve

12 grams pro              9 grams pro

-----------------          =   -------------------

100 grams cereal          x grams cereal

Using cross products

12x = 100 *9

12x = 900

Divide by 12

12x/12 = 900/12

x =75

Answer:

75 grams of cereal will give 9 grams protein.

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Let grams of will give you 9 grams of protein = x

To solve it, we need to write it in ratios

12 grams protein = 100 grams cereal

9 grams protein = x grams cereal

Using cross multiplication method

12 × x =9 × 100

12 x = 900

Divide each side by 12

12 x / 12 = 900/12

x = 75

24) IN A PARALLELOGRAM OPPOSITE ANGLES ARE EQUAL

3y + 2 = 62

3y = 62 - 2

3y = 60

y = 60/3

y = 20°

ALSO IN A PARALLELOGRAM ADJACENT SIDES SUM IS 180°

62 + 5x + 3 = 180°

5x + 65 = 180

5x = 180 - 65

5x = 115

x = 115/5

x = 23°

so option c is correct

.

.

.

25) IN A PARALLELOGRAM THE SIDES OF SAME DIAGONAL ARE EQUAL

5x - 4 = 10x - 24

5x - 10x = -24 + 4

-5x = -20

x = 20/5

x = 4

4x + 14 = 3y + 9

4(4) + 14 = 3y + 9

16 + 14 = 3y + 9

30 = 3y + 9

3y = 30 - 9

3y = 21

y = 21/3

y = 7

.

.

.

so option b is correct

I KNEW ONLY THESE BOTH QUESTIONS

Answer:

diameter will be 26ft that's D

Answer:

7 cm and 2 cm

Step-by-step explanatio

Answers:

==========================================================

Explanation:

Point A is at (-3, 4). If we apply the translation rule of "shift 9 units to the right and 6 units down", then we apply this transformation

[tex](x,y) \to (x+9,y-6)[/tex]

We add 9 to the x coordinate and subtract 6 from the y coordinate.

So (-3,4) becomes (-3+9, 4-6) = (6, -2) which is where point A' is located in the diagram. You should find that points B,C,D all map to B', C', D' following this same translation rule.

Therefore, statement 1 is true.

Statement 3 is the same idea, but the order has been swapped. The order doesn't matter in this case. So that makes statement 3 true as well.

-----------------------------------------------

Statement 2 on the other hand is false

Why? Because a reflection reverses the orientation of a figure. Note how both squares ABCD and A'B'C'D' all go clockwise when we go through the alphabet (ie A to B to C to D).

If a reflection happened, then A'B'C'D' would go counterclockwise and show that the orientation has been swapped. I recommend drawing an analogue clock and going up to a mirror to see that the orientation has swapped.

To swap the orientation back, you need a second reflection. This shows that two reflections either lead to a translation or a rotation (depending if the mirror lines are parallel or not).

If you wanted, you could track to see where point B ends up if you follow statement 2. Point B is at (-1, 4). Reflect over the y axis to get to (1, 4). Then shift 6 units down to arrive at (1, -2) which is not the correct location of B'. The diagram shows B' is actually at (8, -2). So this is an alternative way to see how statement 2 is false.

Answer:

True

False

True

Step-by-step explanation:

Answer:

7x-1+2x-1=7

9x-2=7

9x=7+2

9x=9

÷9

x=1

Answer:

---

Step-by-step explanation:

W=2x²+9x-7

L=x²-9

2(3x²+9x-16)

6x²+18x-32

The bold is the perimeter.

---

hope it helps

Answer:

ECB=EBC=(180-90)/2

=90/2=45

MEASURE OF ABE=180-45

=135

9514 1404 393

Answer:

  28

Step-by-step explanation:

Let x represent the even number between them. Then the desired sum is 2x.

The given relation is ...

  7(x -1) = 1 +6(x +1)

  x = 14 . . . . . . . add 7-6x

 2x = 28 = sum of those numbers

__

The two numbers are 13 and 15.

Answer:

It won't carry it safely

Step-by-step explanation:

truck capacity ? load value

5000 gallons ? 600 bushels

5000 gallons < 5585 gallons

600 bushels ie 5585 gallons is larger than 5000 gallons, which is the truck's capacity

Answer:

547:855

Step-by-step explanation:

Answer:

21/18 which simplifies to 7/6

Step-by-step explanation:

Answer:

We are dividing a slab of wood into equal pieces, so the obvious function would be to divide. And how long are the pieces going to be? 1/4 of a foot. so that gives us:

6 ÷ ¼.

Now, when we divide by a fraction, we flip the numerator and denominator and multiply, so the equation will look like:

6 * 4

Solve that, and you'll have your answer.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

x(x^2+4)

Step-by-step explanation:

See image below:)

Answer: im pretty sure that would be A

Step-by-step explanation:

Answer:

XY = 4.75 cm

Step-by-step explanation:

Δ VXY and Δ VWZ are similar so the ratios of corresponding sides are equal, that is

[tex]\frac{XY}{WZ}[/tex] = [tex]\frac{VX}{VW}[/tex] , substitute values

[tex]\frac{XY}{2.5}[/tex] = [tex]\frac{4.5+5}{5}[/tex] = [tex]\frac{9.5}{5}[/tex] ( cross- multiply )

5 XY = 23.75 ( divide both sides by 5 )

XY = 4.75 cm

Answer:

-3, -13, -23, -33, -43

Step-by-step explanation:

An atithmetic sequence has a common difference between each term

in -3, -13, -23, -33, -43

the difference between terms is a constant -10

Answer:

x = −14 or x = −4

Step-by-step explanation:

Answer:

wait

Step-by-step explanation:

 =  1 4

 =  −  4

Answer:

c and d

Step-by-step explanation:

c) Housing, savings and food = 54%

d) Housing, food and transportation = 60%

Answer:

c and d

Step-by-step explanation:

Answer:

cos C= 15/39

Step-by-step explanation:

The value of cos C rounded to the nearest hundredth is 0.38.

In a right angle triangle the cosine of an angle is the ratio of the length of the side adjacent to the angle to the length of the hypotenuse.

Pythagoras' theorem states that for all right-angled triangles, "The square on the hypotenuse is equal to the sum of the squares on the other two sides".

According to the given question

We have a right angled triangle ABC, in which right angle is at B.

Also,

BC = 15

AB = 36

[tex]AC = \sqrt{AB^{2}+BC^{2} }[/tex]              (By Pythagoras theorem)

⇒[tex]AC = \sqrt{15^{2} +36^{2} }[/tex]

⇒[tex]AC = \sqrt{1521}[/tex]

⇒AC = 39

⇒ Hypotenuse of triangle ABC is 39.

Now, the adjacent side w.r.t ∠C is BC

Therefore, the cosine of an angle C is given by

[tex]cosC=\frac{BC}{AC}[/tex]

⇒[tex]CosC= \frac{15}{39} =\frac{5}{13}[/tex]

⇒[tex]cosC =0.38[/tex]

Hence, the value of cos C rounded to the nearest hundredth is 0.38.

Learn more about the cosine of an angle here:

https://brainly.com/question/9932656

#SPJ2

Answer:

[tex]m=7\frac{5}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{9}(2m - 16)=\frac{1}{3}(2m + 4)[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} =\frac{2}{3}m+ 1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 1\frac{7}{9} -1\frac{1}{3} =\frac{2}{3}m+ 1\frac{1}{3}-1\frac{1}{3}[/tex]

[tex]\frac{2}{9}m - 3\frac{1}{9} =\frac{2}{3}m[/tex]

[tex]\frac{2}{3}m-\frac{2}{9}m= \frac{2}{9}m -\frac{2}{9}m - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m= - 3\frac{1}{9}[/tex]

[tex]\frac{4}{9}m/\frac{4}{9} = - 3\frac{1}{9}/\frac{4}{9}[/tex]

[tex]m=7\frac{5}{16}[/tex]

Answer:

C. 11/21

Step-by-step explanation:

Find the probability that he scores in general, by dividing 33 by 63:

33/63

Simplify this by dividing the numerator and denominator by 3:

= 11/21

So, the probability that he will score his next shot is 11/21

The correct answer is C. 11/21

Answer:

He will use about 12.375 cups of oatmeal

Step-by-step explanation: