ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.
What is the length of AC?
a.3
b.6
c.13
d.17

Answer:

0

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

We are going to call the missing angle in triangle EDC, "y"

x+y+100=4x+49+y

Eliminate the "y" on both sides

x+100=4x+49

move the x by subtracting the x on the left from the right

100= 3x +49

Move the numbers by subtracting 49 from 100

51 = 3x

Divide both sides by 3

17=x

Answer:

x=17

Step-by-step explanation:

Hello! There are a few important pieces of information you need to keep in mind before trying to solve this problem:

Now that we know these two pieces of information, we can begin to set up our problem. Because the angles in a triangle always add up to 180, we can set up the problem as follows:

x + 100° + ∠DCE = 4x + 49° + ∠ACB

Now this is where the vertical angles come in. Angles ∠DCE and ∠ACB are vertical, which makes them congruent. Since they are the same value, we can subtract them from either side of the equation. (NOTE: We can only do this because they are the same value. Subtracting angles of different values will mess up your answer!!!)

Now, we have the same problem in much simpler terms. We can now simplify it in order to get x.

4x + 49 = x + 100 (subtract 49 from both sides)

4x = x + 51 (subtract x from both sides)

3x = 51 (divide both sides by 3)

x = 17 (FINAL ANSWER)

I really hope this helped! Take care! :)

Answer:

591.5 yards because 27.3 multiplied by 65= 1774.5. there are 3 feet in a yard so 1774.5/3= 591.5 yds

Answer:

193 cm

Step-by-step explanation:

super man is 200 cm

hulk is 196 cm

tarzan 193 cm

Answer:

According to my calculations, it should be 5.78

Step-by-step explanation:

I just used a calculator for this :b

Answer:$5.78

Step-by-step explanation:

Just divide 7 by 40.50

Answer:

b

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Angle-Angle-Side (AAS) congruence

HTH :)

Answer:

I would help you but that's cheating cause your doing a test.

Step-by-step explanation:

Answer: -1.2 because I know

Step-by-step explanation:

Answer:

The person above me is right.

-1.2 is correct

ED2021

(all my homies hate stats, i do too)

Answer:

(x-7)^2 + y^2 = 9

Step-by-step explanation:

Equation of a circle:

(x-h)^2 + (y-k)^2 = r^2

(x-7)^2 + (y-0)^2 = 3^2

(x-7)^2 + y^2 = 9

Answer: Maddie is nine

Step-by-step explanation:

PETER: 9

Kelly: 12

MAX: 14

Ashley: 11

Maddie: 9

Answer: A on Edge

Step-by-step explanation:

Answer:

1×10 exponent 12

Step-by-step explanation:

hipe that helped

Answer:

Hi, I'm new can I get marked as Brainliest It would be highly appreciated.

Hope my answer helps :)

lets get into answering your question.

Step-by-step explanation:

1e+12

Answer:

= 7.2

Step-by-step explanation:

0.9(17) -2.7(3) =

15.3 - 8.1=

=7.2

Answer:

honestly i think it might be (C)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

0.5 is the same thing as 1/2 and half of 4 is 2

Answer:

Step-by-step explanation:

7). x + y = 4 ⇒ y = 4 - x -----> xy = - 96

x(4 - x) = - 96 ⇔ x² - 4x - 96 = 0

D = ( - 4)² - 4(1)(- 96) = 400 = (20)²

[tex]x_{1}[/tex] = (- ( - 4) - 20) ÷ 2(1) = - 8

[tex]x_{2}[/tex] = ( - ( - 4) + 20) ÷ 2 = 12

Numbers are - 8 and 12

8). It's your turn now. You can do it

9). x² - 5x + 3 = 0

0 < [tex]x_{1}[/tex] < 1

4 < [tex]x_{2}[/tex] < 5

10). - x² + 3x + 1 = 0

-1 < [tex]x_{1}[/tex] < 0

3 < [tex]x_{2}[/tex] < 4

11). x² + 2x - 2 = 0

- 3 < [tex]x_{1}[/tex] < - 2

0 < [tex]x_{2}[/tex] < 1

Answer:

Step-by-step explanation:

is this 8th grade math?

Answer:

umm maybe 1.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

4015000

Answer:

fndskfnzxc.,vnf

Step-by-step explanation:

fnznmsdv,ns.d,

Answer:

Step-by-step explanation:

2

The sides this polygon have is 5 sides.

A polygon is a closed figure made up of three or more line segments connected end to end.

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

We are given  shown in the illustration, starfish that has the shape of a pentagon.

Since a pentagon is a polygon that has 5 sides.

Therefore, the sides this polygon have is 5 sides.

Learn more about vertex and apex;

https://brainly.com/question/12386353

#SPJ2

Answer:

Yea it does

Step-by-step explanation:

Answer:

[tex]\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}[/tex].

Step-by-step explanation:

Convert the angle [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)[/tex] to degrees:

[tex]\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ[/tex].

Note, that [tex]\left(-105^\circ\right)[/tex] is the sum of two common angles: [tex]\left(-45^\circ\right)[/tex] and [tex]\left(-60^\circ\right)[/tex].

By the sum-angle identity of cosine:

[tex]\cos(A + B) = \cos(A)\cdot \cos(B) - \sin(A) \cdot \sin(B)[/tex].

Apply the sum formula for cosine to find the exact value of [tex]\cos\left(-105^\circ \right)[/tex].

[tex]\begin{aligned}\cos\left(-105^\circ \right) &= \cos\left(\left(-45^\circ\right) + \left(-60^\circ\right)\right) \\ &= \cos\left(-45^\circ\right) \cdot \cos\left(-60^\circ\right)\right) - \sin\left(-45^\circ\right) \cdot \sin\left(-60^\circ\right)\right) \\ &= \frac{\sqrt{2}}{2} \times \frac{1}{2} - \left(-\frac{\sqrt{2}}{2}\right)\times \left(-\frac{\sqrt{3}}{2}\right) = \frac{\sqrt{2} - \sqrt{6}}{4}\end{aligned}[/tex].

[tex]\displaystyle \left(-\frac{7\, \pi}{12}\right) = \left(-\frac{7\, \pi}{12}\right) \times \frac{180^\circ}{\pi} = -105^\circ[/tex]. In other words, [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)[/tex] and [tex]\left(-105^\circ\right)[/tex] correspond to the same angle. Therefore, the cosine of [tex]\displaystyle \left(-\frac{7\, \pi}{12}\right)\![/tex] would be equal to the cosine of [tex]\left(-105^\circ\right)\![/tex].

[tex]\displaystyle \cos\left(-\frac{7\,\pi}{12}\right) = \cos\left(-105^\circ\right) = \frac{\sqrt{2} - \sqrt{6}}{4}[/tex].

the domain of a sine function is from negative to positive infinity. The domain is written as (-∞,∞) in interval notion. It it the same thing as the domain is all real numbers.

hope this helped <3

Answer:

the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 .

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The greatest common factor (GCF)

The greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

Here,

To find the greatest common factor (GCF) of two numbers, we need to identify the largest number that can evenly divide both numbers.

Here's the step-by-step process to find the GCF of 16 and 100:

Step 1: List the factors of each number.

The factors of 16 are 1, 2, 4, 8, and 16.

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, and 100.

Prime factorization of 16:

16 = 2 * 2 * 2 * 2

Prime factorization of 100:

100 = 2 * 2 * 5 * 5

Step 2: Identify the common factors.

The common factors of 16 and 100 are 1, 2, 4.

Step 3: Find the greatest common factor.

Among the common factors, the greatest common factor (GCF) is the largest one, which is 4.

So, the GCF of 16 and 100 is 4.

In conclusion, the greatest common factor of 16 and 100 is 4, and it represents the largest number that can evenly divide both 16 and 100.

To learn more on GCF click:

brainly.com/question/30685324

#SPJ6

Answer:

3/4 is equal to 9/12 and 14/4 is equal to 56/12

Step-by-step explanation:

multiply both sides by 3

Answer:

a) 6:8, 9:12, 12:16

b) 28:8, 42:12, 56:16

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x=70 y=110 z=30 is all of the variables