What must be true in order for line A to be parallel of line b?

Answer:

x = 33

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

x+114+33 = 180

Combine like terms

x+147 = 180

Subtract 147 from each side

x+147-157 = 180-147

x = 33

Answer:

x=33

Step-by-step explanation:

The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.

x+114+33=180

Combine like terms by adding 114 and 33

x+147=180

In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.

x+147=180

147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.

x+147-147=180-147

X=180-147

x=33

x is equal to 33 degrees.

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

Answer:

true

Step-by-step explanation:

4x + 5y = -13.

Substitute the point in

4(-2) + 5(-1) = -13

-8+-5 = -13

-13 = -13

This is true so the point is a solution

Answer:

6k-3 or 3(2k-1)

Step-by-step explanation:

First, you need to multiply 1/2 by both the numbers in the parentheses

1/2(12k-6)=

Then, you need to simplify your answer

*If needed, you can simplify further by taking out a factor of 3

Answer:

[tex]3(2k-1)[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}(12k-6)[/tex]

Expand the bracket by multiplying by 1/2:

[tex]6k-3[/tex]

Simplify further by taking out a factor of 3:

[tex]3(2k-1)[/tex]

Answer:

[tex]-\frac{4}{5}[/tex] × [tex]\frac{6}{7}[/tex] = [tex]-\frac{24}{35}[/tex]

Step-by-step explanation:

It's just like regular multiplication:

[tex]\frac{Numerator}{Denominator}[/tex]

Numerator:

-4 × 6 = -24

Denominator:

-5 × 7 = -35

Answer:2,3,4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A line that shows all solutions

Answer:

Step-by-step explanation:

You have to use the distance formula to find that distance.  The formula is:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Let's call the first point x1, y1 (4, -1) and the second point x2, y2 (0, -2). Plugging into our formula then gives us this:

[tex]d=\sqrt{ (0-4)^2+(-2-(-1))^2}[/tex]

which simplifies to

[tex]d=\sqrt{(-4)^2+(-1)^2}[/tex] which is

[tex]d=\sqrt{17}[/tex] ≈ 4.123 units

Answer:

The answer would be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

8 times 4 = 32

Answer:

Bisecting an Angle.

Step-by-step explanation:

This image shows the Bisection of an Angle. The 'x' shaped mark between the angle is formed when a protractor is used to mark the place in which a ray must pass through the center of the 'x' to be an equal bisection of the angle. This shows that the process that is being undergone is finding the bisection of the angle.

Answer:

bisecting an angle

just took the test!

Step-by-step explanation:

Answer:

Step-by-step explanation:

8x^2 - 2x^2 - 3x + 8x  + 1/3 - 3/5

6x^2 + 5x + 5/15 - 9/15

6x^2 + 5x - 4/15

the solution is the third one C

Answer:

the length of ab is 8

x=3

Step-by-step explanation:

Answer:

So since the formula for perimeter is 2(w+h)

200 = 2(w+h)

that means that

100 = w+h

100 = 36+x

x=

64 UNITS

Step-by-step explanation:

Answer:

27 purple marbles

Step-by-step explanation:

Equations based on the given:

p= 2b +5 and  p+b= 38

Answer:

4 11/12

Step-by-step explanation:

x2−4x−12<0

x2+10x−24<0

x−1=2y

x=−5912

Decimal Form:

x=−4.91¯6

Mixed Number Form:

x=−4 11/12

Answer:

There is no solution to this.

Step-by-step explanation:

Maybe check for a typo?

you would first need to calculate the discriminant, D= b^2-4 a c

D= (-12)^2 -4*1*59

Simplify

D=-92

Since D<0, the quadratic equation has no real solutions.

Answer:

First find how much more the recipe increased by

32/8=4

She needs to have 4 times more the recipe

Since she multiplied the 8 drops of yellow by 4 we need to balance the food coloring and multiply the red food coloring by 4

12 x 4 = 48 drops of red food coloring

48 drops

Hope this helps

Step-by-step explanation:

Answer: a=4

Step-by-step explanation:

Es facil. La diagonales de un rectangulo se cortan en su punto medio por tanto la diagonal es 10 (el doble de 5).

Por pitagoras entonces:

[tex]a=\sqrt{10^2-8^2}=\sqrt{100-64}=\sqrt{36}=4[/tex]

Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

Answer:A

Step-by-step explanation:  The range are all othe y values (the outputs) in chronological order

Answer:

2

Step-by-step explanation:

just see the slope of FG

from F to G is 5 to the right and 1 goes up.

then, see the F'G' slope

its 10 to the right and 2 goes up

it TWICE

Answer:

Gabrielle drove to the soccer game at the speed of 18 miles/hour

Step-by-step explanation:

Given: Distance covered = 72 miles

On the way back, she had to drive 18 miles per hour slower due to road construction which made the trip take 9 hours longer.

To find: speed

Solution:

Let speed be x miles/hour

Time taken = distance covered/time taken = [tex]\frac{72}{x}[/tex]  hours

On the way back, she had to drive 18 miles per hour slower due to road construction

So, new speed = ( x - 18 ) miles/hour

Time taken as per new speed = [tex]\frac{72}{x-18}[/tex]  hours

According to question,

[tex]\frac{72}{x-18}-\frac{72}{x}=9\\\frac{1}{x-18}-\frac{1}{x}=\frac{9}{72}\\\frac{x-x+18}{x(x-18)}=\frac{1}{8}\\x^2-18x-144=0\\x^2-24x+6x-144=0\\x(x-18)+6(x-18)=0\\(x-18)(x+6)=0\\x=18\,,\,-6[/tex]

Being a speed, x can not be negative. So, [tex]x=-6[/tex] is rejected

So,

Gabrielle drove to the soccer game at the speed of 18 miles/hour

Answer:

2.5

Step-by-step explanation:

I'm sorry I don't know how to explain it but I'm pretty sure the answer is a. 2.5

Answer:

Step-by-step explanation:

30 mm = 3 cm

[tex]\\ height=\frac{Volume}{length*width}\\\\=\frac{675}{15*3}\\\\=15 cm[/tex]

Answer:

h = 15 cm

Step-by-step explanation:

V = l×w×h

h = V/l×w

= 675cm³/15cm×3cm

= 675cm³/45cm²

= 15 cm

Answer:

A intersection B or A Π B

Step-by-step explanation:

The intersection of A and B is the set of all those elements which belong to both A and B.

In given Venn diagram describe the shading region is A intersection B or A ∩ B

A Venn diagram is an illustration that uses circles to show the commonalities and differences between things or groups of things Venn diagrams, also called Set diagrams or Logic diagrams, are widely used in mathematics, statistics, logic, teaching, linguistics, computer science and business. Many people first encounter them in school as they study math or logic, since Venn diagrams became part of “new math” curricula in the 1960s. These may be simple diagrams involving two or three sets of a few elements, or they may become quite sophisticated, including 3D presentations, as they progress to six or seven sets and beyond. They are used to think through and depict how items relate to each within a particular “universe” or segment. Venn diagrams allow users to visualize data in clear, powerful ways, and therefore are commonly used in presentations and reports. They are closely related to Euler diagrams, which differ by omitting sets if no items exist in them. Venn diagrams show relationships even if a set is empty.

According to the question

The intersection of A and B is the set of all those elements which belong to both A and B.

Hence, the given Venn diagram describe the shading region is A intersection B or A ∩ B

To learn more about Venn diagram from here https://brainly.in/question/9613505

#SPJ2

Answer:

3/8

Step-by-step explanation:

Let's first start by figuring out all the factors of 30.

They are as follows: 1, 2, 3, 5, 6, 10, 15, 30

30 has 8 factors in total.

3 of the factors have 2 digits.

Probability is number of desired outcomes/number of total outcomes.

We have 3 desired outcomes and 8 total outcomes.

Therefore, the probability that the factor chosen at random will have 2 digits is 3/8.