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White raven [17]
3 years ago
15

Select all the pairs that are alternate interior angles​

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
5 0

Answer:

- ∠3 & ∠5

- ∠2 & ∠8

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

Interior Angles - Angles that appear <u>INSIDE </u>the transversal

Transversal - The shape you see with two parallel lines intersecting it.

Alternate - Opposite of each other, on the other side as well.

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Ms. Drohan's dog weighs 11 pounds 8 ounces. Ms. Granahan's dog weighs 245 ounces. Whose dog weighs more? A.
mash [69]

Answer: B . Ms. Granahan's dog weighs more

Step-by-step explanation:

1 pound = 16 ounces

11 pounds x 16 ounces = 176 ounces

176 + 8 ounces = 184 ounces

therefore , Ms. Drohan's dog weighs 185 ounces

B is the answer.

7 0
3 years ago
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What is the scale factor from Figure A to Figure B?
bearhunter [10]

Answer:

Step-by-step explanation:

To find the Scale factor we use this formula:

Scale factor / K  = Dimension of the new shape ÷ Dimension of the original shape

Substitute any 2 corresponding sides into the formula:

I took 1 and 4:

K = 1 / 4

K = 0.25

I'm not sure which form the question is so I will leave it here.

Hope this helped. Brainliest please?

7 0
2 years ago
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Determine the point of intersection between the lines with equations x+3y=5 and 3x−2y=26.
Zolol [24]

Answer:

the ans is :

Step-by-step explanation:

First, it would be helpful to draw a quick sketch of the lines. It helps to visualize the problem.

To find the intersection point, we need to find the point where x and y are the same value in both equations.

The line equations:

6x+2y=26 ................... 1

2x+3y=18 ................... 2

Can be rearranged to the common line equation form: y = mx + c

y = 13 - 3x ................... 3

y = 6 - 2/3 x ................. 4

At the intersection point, y will be equal for both equations. So, we can set 3 equal to 4 and solve for x.

13- 3x = 6 - 2/3 x

13 = 6 + 3x - 2/3x ....... add 3x to both sides

13 = 6 + 2 1/3x ........ simplify

7 = 2 1/3 x ........ subtract 13 from both sides

7 = 7/3 x ......... multiply both sides by 3/7

3 = x

To calculate the y-coordinate substitute x = 3 into 3.

y = 13 - 3x

y = 13 - 3(3)

y = 4

To check your answer, substitute the values for x and y into the other equation, 4.

The point of intersection is (3,4).

If you drew a sketch of the problem, you should be able to see that this point of intersection makes sense.

4 0
3 years ago
Read 2 more answers
Mixed number as a decimal. 8 1/10
Anvisha [2.4K]

Answer: 8.1

Step-by-step explanation: How you convert a mixed number into a decimal is taking the whole number (not the fraction part) and putting it in front of the decimal, then you get the fraction's denominator to 10 multiply if needed, then you take the fractions top number and put it after the decimal, Now your converted!

If you need any further help or instruction let me know!

8 0
3 years ago
A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
mario62 [17]

Answer:

(x-7)^2+(y-5)^2=1

Step-by-step explanation:

The two things that are required to formulate the equation of the circle is the center coordinate and the radius of the circle!

<u>Center of the circle:</u>

  • The center of the circle always lies at the midpoint of the endpoints of its diameter: Let's call the endpoints A(6,5) and B(8,5).

Using the midpoint formula we'll get:

(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

(x_m, y_m) = \left(\dfrac{6+8}{2},\dfrac{5+5}{2}\right)

(x_m, y_m) = (7,5)

This is the center coordinate of our circle.

<u>Radius: </u>

The radius of the circle is the distance from the center of the circle to any of the endpoints of the diameter (A or B)

We can use the distance formula:

r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

r = \sqrt{(x_1-x_m)^2+(y_1-y_m)^2}

r = \sqrt{(6-7)^2+(5-5)^2}

r = \sqrt{1^2}

r = 1

<u>Equation of the circle: </u>

The equation is written as:

(x-a)^2+(y-b)^2=r^2

here, (a,b) are the center points of the circle

in our case this is (a,b)=(x_m,y_m)=(7,5)

and r = 1

(x-7)^2+(y-5)^2=1^2

(x-7)^2+(y-5)^2=1

This is the equation of the circle!

3 0
3 years ago
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