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djverab [1.8K]
4 years ago
11

Which pair of angles are alternate exterior angles?

Mathematics
2 answers:
Neko [114]4 years ago
4 0

Answer:

<2 and <7

Step-by-step explanation:

Because <2 and <6 are equal and <3 and <7 are equal as well means that angles <2 and <7 are alternate exterior angles as well as angles <3 and <6.

Luba_88 [7]4 years ago
4 0

Answer:

<2 and <7

Step-by-step explanation:

The alternate exterior angles are those angles that are found by the symmetry that is created between parallel lines.

In the image the angles <2 and <3 are equal because they are opposed by the vertex.

and due to the symmetry of the parallel lines the angle 3 <3 is corresponding to the angle 7 <7 (they measure the same for being on the same side in the lines that are parallel)

This means that consequently, angles <2 and <7 are equal and are alternate exterior angles.

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Answer:

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Step-by-step explanation:

4 0
4 years ago
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Find the midpoint of the segment below and enter its coordinates as an
Sati [7]

Answer:

(-1/2,5)

Step-by-step explanation:

Here is the complete question

Find the midpoint of the segment with endpoints of (1, 4) and (-2, 6) and enter its coordinates as an ordered pair. If necessary, express coordinates as fractions, using the slash mark ( / ) for the fraction bar.

Solution

The mid-point of a line is given by ((x₁ + x₂)/2,(y₁ + y₂)/2). From the question, x₁ = 1, y₁ = 4, x₂ = -2 and y₂ = 6. So,

((x₁ + x₂)/2,(y₁ + y₂)/2) = ((1 + (-2))/2,(4 + 6)/2)

                                  = ((1 - 2)/2,10/2)

                                  = (-1/2,10/2)

                                  = (-1/2,5)

6 0
4 years ago
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many face
viva [34]

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

6 0
4 years ago
A^2-a+12=0 I need the roots
kumpel [21]

Answer:

a = 1/2 (1 ±sqrt(47))

Step-by-step explanation:

a^2-a+12=0

We will complete the square

Subtract 12 from each side

a^2-a+12-12=0-12

a^2-a=-12

The coefficient of a = -1

-Divide by 2 and then square it

(-1/2) ^2 = 1/4

Add it to each side

a^2 -a +1/4=-12 +1/4

(a-1/2)^2 = -11 3/4

(a-1/2)^2= -47/4

Take the square root of each side

sqrt((a-1/2)^2) =sqrt(-47/4)

a-1/2 = ±i sqrt(1/4) sqrt(47)

a-1/2= ±i/2 sqrt(47)

Add 1/2 to each side

a-1/2+1/2 = 1/2± i/2 sqrt(47)

a =  1/2± i/2 sqrt(47)

a = 1/2 (1 ±sqrt(47))

8 0
3 years ago
Calculate (a) the number of milligrams of metoclopramide HCl in each milliliter of the prescription:
nalin [4]

Answer:

There are 100 milligrams of metoclopramide HCl in each milliliter of the prescription

Step-by-step explanation:

When the prescription says Purified water qs ad 100 mL means that if we were to make this, we should add the quantities given and then, fill it up with water until we have 100 mL of solution, being the key words qs ad, meaning sufficient quantity to get the amount of mixture given.

Then, knowing there is 10 grams of metoclopramide HCl per 100 mL of prescription, that means there is (1 gram = 1000 milligrams) 10000 milligrams of metoclopramide HCl per 100 mL of prescription. That is a concentration given in a mass/volume way.

Knowing the concentration, we can calculate it per mL instead of per 100 mL

Concentration_{metoclopramide HCL}= \frac{10000mg}{100mL} =100 \frac{mg}{mL}

7 0
3 years ago
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