Given: a ∥ b and ∠1 ≅ ∠3
Prove: e ∥ f

Horizontal and parallel lines e and f are intersected by parallel lines a and b. At the intersection of lines a and e, the bottom left angle is angle 1. At the intersection of lines b and e, the uppercase right angle is angle 2. At the intersection of lines f and b, the bottom left angle is angle 3 and the bottom right angle is angle 4.

We know that angle 1 is congruent to angle 3 and that line a is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem.

Which information is missing in the paragraph proof?

∠2 ≅ ∠4
∠1 ≅ ∠2
∠2 ≅ ∠3
∠1 ≅ ∠4

Answer:

y > 19x - 2

Step-by-Step Explanation:

Slope-intercept form is y = mx + b. In this case it is y > mx + b.

2 is our b and 19x is our mx.

We need to put the y on one side and the other terms on the other side of greater than sign. When we switch which term the side is on, we have to change the operation. If it is a negative number it turns positive and vice-versa. Our y can't be negative so we need to put it on the right side to change it to a positive.

19x > y + 2

Now we need to get the 2 on the same side as the 19x. So we bring it to the other side and switch the operation.

19x - 2 > y

Now we are just going to flip both sides to get the y on the left and the 19x - 2 on the right.

y > 19x - 2

I hope thay made sense.

Answer:

k=-9

Step-by-step explanation:

k-8+8=-17+8

k=-9

Step-by-step explanation:

k-8=17

k-8+8=17+8

k=25

Answer:

8/5

Step-by-step explanation:

8/5

using y2-y1/x2-x1

Answer:

Part A: 6.0 ft, 5.4 ft

Part B: 22.8 feet

Part C: Parallelogram

Answer:

The p -value is less than α , and the null hypothesis is rejected. There is convincing evidence to suggest the true proportion of stitching defects is not 0.08.

The correct conclusion should be that the null hypothesis is rejected because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

Given information:

The plant manager of a company that makes pillows claims that only 8 percent of the pillows made have a stitching defect.

The director tested the hypotheses H.

[tex]p = 0.08\\\alpha=0.05[/tex]

p-value of of the test is found to be 0.03 which is smaller than the significance level of [tex]\alpha=0.05[/tex].

Now, for smaller value of p-value, the null hypothesis is ignored.

Therefore, the correct conclusion should be that the null hypothesis is reject because of smaller p-value, and the true proportion of stitching defect is not equal to 0.08.

For more details, refer to the link:

https://brainly.com/question/4454077

Answer:

4b^2 (b^3 + b + 4 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The relation is a function.

To analyze if the relationship shown is a function, you must observe that each value of the domain has a single value of the range assigned. For the given points {(-5, 6), (-2, 3), (3, 2), (6, 4)} this requirement is satisfied. Therefore, the relationship is a function.

Step-by-step explanation:

Since there is one value of  y  for every value of  x  in  ( − 5 , 6 ) , ( − 2 , 3 ), ( 3 , 2 ), ( 6 , 4 ) , this relation is a function.

The relation is a function.

Answer:

36,000 kg

Step-by-step explanation:

✔️First, find the area of the trapezium field:

Area of trapezium = ½(a + b)*h

Where,

a = 210 m

b = 190 m

h = 250 m

Area of trapezium = ½(210 + 190)*250

= ½(400)*250

= 200*250

= 50,000 m²

✔️Find the kg of barley that 50,000 m² field will produce:

10,000 m² (1 ha) produces 7,200 kg

Therefore,

50,000 m² will produce:

(50,000*7,200)/10,000

= 5*7,200

= 36,000 kg of barley

Answer:

this example of a box whisker plot

Step-by-step explanation:

try to input your numbers

Answer:

reflex angle

Step-by-step explanation:

A reflex angle is the larger angle, it's always more than 180° (half a circle) but less than 360° (A full circle).

Answer:

REFLEX ANGLE !!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify:

Answer:

no they are not

Step-by-step explanation:

Respuesta:

C: 10xy^4 + 3x^3y^2 - 6x^2y

¡¡Espero te sirva!!

Answer:

mx

Step-by-step explanation:

b is the y intercept, and mx is the slope

Answer:

A = 3.4

Step-by-step explanation:

235 = 7(4 + 6a) - 3

you're trying to make both sides equal, that means whatever is happening on one side must happen on the other. to take minus 3 out of the equation you add 3 to both sides

235 + 3 = 7(4 + 6a) -3 + 3

238 = 7(4 + 6a)

next add within the parenthesis and multiply that by 7

238 = 7(4 + 6a)

238 = 7 × 10a

238 = 70a

next divide both sides by 70

238 ÷ 70 = 70a ÷ 70

3.4 = a

Answer: For #5, a = 5

Step-by-step explanation:

First, let's open the parenthesis.

235 = 7 (4 + 6a) - 3

235 = 28 + 42a - 3

Next, subtract 28 by 3 on the right side.

235 = 28 + 42a - 3

235 = 25 + 42a

Then, we'll subtract both sides by 25.

235 - 25 = 25 - 25 + 42a

210 = 42a

Finally, let's divide both sides by 42!

210 / 42 = 42a/42

5 = a

So, a = 5.

Answer:

A

Step-by-step explanation:

The line is going up so it is positive. That leaves A and B. By counting squares, you can see that the line is going up at a rate of 2/3. you find this by counting from where it crosses on y=-2 too y=0. And you see the y has changes two places and the x has changed 3. Or do it in the formula y(final)-y(initial)/x(final)-x(initial) so (0-(-2))/(3-0) = 2/3. So the equation must have 2/3. So the equation is A

Answer:

3400

Step-by-step explanation:

When you round to the tens place you look at the number in the ones place. If it is 4 or less then you keep the tens place the same. If it's 5 or more then you round the tens place up one. Then you make the ones digit a 0.

Since there is a 2 in the ones place in 172, you keep the tens digit the same (170).

Since there is an 8 in the ones place in 18, you round the tens digit up one (20).

Now you multiply.

170×20=3400

I hope that made sense.

Answer:

the difference is 143

explanation

How to Find the Difference between Two Numbers. To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value. The product of this sum is the difference between the two numbers. Therefore the difference between 45 and 100 is 55.

so 120-(-23) is 141

Answer:

sports because sports is fun and you can win stuff and also they can keep you in shape easy

Step-by-step explanation:

Answer:

I like to play basketball and play with my dogs. They could help my personal physical fitness by bettering my weight and stamina.

Step-by-step explanation:

Answer: x = 25

Step-by-step explanation:

3x + 48 + 57 = 180

3x + 105 = 180

-105 on both sides

3x + 105 - 105 = 180 - 105

3x = 75

divide by 3 on both sides

(3x)/x = 75/3

x = 25

Answer:

Step-by-step explanation:

A geometric figure is intuitively defined as a set of points and lines in space. In the words of Euclid: A figure is that which is contained by any boundary or boundaries

Answer:

Congruent

Step-by-step explanation:

Congruent two shapes are this if they have exactly the same shape and size.

Answer:

6.7 min

Step-by-step explanation:

Given:

The given terms are

[tex]4p^3mn^2[/tex] and [tex]2pm^2n^3[/tex]

To find:

The common factors of given terms.

Solution:

We have,

[tex]4p^3mn^2[/tex] and [tex]2pm^2n^3[/tex]

The factor forms are

[tex]4p^3mn^2=2\times 2\times p\times p\times p\times m\times n\times n[/tex]

[tex]2pm^2n^3=2\times p\times m\times m\times n\times n\times n[/tex]

The common factors are 2, p, m, n, n. So,

Common factors = [tex]2\times p\times m\times n\times n[/tex]

                            = [tex]2pmn^2[/tex]

Therefore, the common factor of given terms is [tex]2pmn^2[/tex].

Step-by-step explanation:

there bottom one. reach are proportional by -4