3 lets We State
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Step-by-step explanation:

1. ΔABC=ΔCDE: a) according to the condition BC=CD and AC=CE; b) m∠(BCA)=m∠(DCE).

2. if ΔABC=ΔCDE, then m∠(BAC)=m∠(DEC) and m∠(ABC)=m∠(CDE).

3. if m∠(BAC)=m∠(DEC), then AB || DE (or if m∠(ABC)=m∠(CDE), then AB || DE).

Answer:

2x^1+1

Step-by-step explanation:

Area=L X W

which means that (14x^4+7x^2) needs to be divided by 7x^2

factorise(14x^4+7x^2) which gives 7x(2x^2+1)

divide 7x(2x^2+1) by 7x^2

gives 2x^2 +1

Answer:

The area of a rectangle is (14x^4 + 7x^2) cm²

and its breadth is 7x^2 cm.

it's length is :---

[tex] = \frac{(14{x}^{4} + 7 {x}^{2})}{7 {x}^{2} } \\ = \frac{7 {x}^{2}(2 {x}^{2} + 1) }{7 {x}^{2} } \\ = (2 {x}^{2} + 1) \: c {m}[/tex]

(2x^2+1) cm is the right answer.

Answer:

EF= 5.5

Step-by-step explanation:

7 + 4 = 11

11 divided by 2 = 5.5

Answer:

1/2

Step-by-step explanation:

the first one trust me

Answer:

The answer is 6.5 meters tall

Step-by-step explanation:

650 divided by 100

do your 2 loops to the left and you get 6.5

Aswr:

i got undefined

Stp-by-stp explntin:

Answer:

14/13 or 1.0769

Step-by-step explanation:

Used a Regression Calculator and typed in the points

Answer:

[tex]\huge\boxed{\sf 4i^2}[/tex]

Step-by-step explanation:

[tex]\sf = -4\\\\We \ know \ that\ i^2 = -1 \\\\= 4 (-1)\\\\= 4i^2\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

WY = 12 units.

Step-by-step explanation:

Given the number line

The distance between W and Y can be calculated such as:

WY = [Location of Y] - [Location of W]

WY = [7] - [-5]

WY = 7+5

WY = 12

Therefore, WY = 12 units

[tex]\huge\mathtt\purple{Answer :- }[/tex]

Let the two numbers be 'm' and 'n'

Now we can get,

1) m + n = 56

2) m - n = 10

m + n = 56

n = 56 - m

m - n = 10

By substituting n = 56 - m we get,

m - (56 - m) = 10

56 - m - m = 10

56 - 2m = 10

-2m = 10 - 56

-2m = -46

m = - 46/-2

Now, we will find 'n' by the equation 1 ,

n = 56 - m

n = 56 - 23

33 + 23 = 56

33 - 23 = 10

Hence, verified

Answer:

7x - 8.

Step-by-step explanation:

sad face

Answer:

multiply, 12 inches per foot

Step-by-step explanation:

Answer:

step-by-step explanation:

8x+2y=-22

8(0)+2y=-22

2y=-22

and now it is a two step equation

do the same thing to the other one  

Answer:

y=8x+7

Step-by-step explanation:

Use the form y=mx+b

M= the slope

B= the y-intercept

y=8x+?

Since the y coordinate of (0,7) is 7

b=7

So y=8x+7

The property used to solve y - 7 = 28 is the Addition Property of Equality

Answer:

[tex]2\dfrac{1}{10}\ \text{acres}[/tex]

Step-by-step explanation:

[tex]9[/tex] acres of land split into [tex]4\dfrac{2}{7}[/tex].

Now

[tex]4\dfrac{2}{7}=4+\dfrac{2}{7}[/tex]

One section of land will be

[tex]\dfrac{9}{4+\dfrac{2}{7}}\\ =\dfrac{9}{\dfrac{30}{7}}\\ =\dfrac{63}{30}\\ =\dfrac{21}{10}=2\dfrac{1}{10}\ \text{acres}[/tex]

One section of the land is [tex]2\dfrac{1}{10}\ \text{acres}[/tex].

Answer:

A had to be the answer.

Answer:

y = 40x + 30

Step-by-step explanation:

The equation for a linear function is given by:

y = mx + b;

where y and x are variables, m is the slope or rate of change of the function and b is the initial value of y at x = 0 (that is y intercept).

Let y represent the total cost and x represent the number of hours worked.

The electrician charges 110 after 2 hours of work and 190 for 4 hours of work.

Representing in coordinate form as (x, y) we get:

(2, 110) and (4, 190)

The equation of the function can be gotten using the formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Therefore:

[tex]y-110=\frac{190-110}{4-2}(x-2)\\\\y-110=40(x-2)\\\\y-110=40x-80\\\\y=40x-80+110\\\\y=40x+30[/tex]

Answer:

No.

Step-by-step explanation:

Your line should start at the point (0,-4) and move up 3 and over 1. The next point should be at (1,-1).

Answer:

This is not correct

Explanation:

To show this, I will use the equation y = 3x - 4.

Let's say that x = 3

In this case, 3x = 9

9 - 4 = 5

So y = 5

Since I can see you have the line hitting 3 on the x axis and the line hitting 2 on the y axis in the same spot, the line is not corresponding with the equation.

So if the line is at 0 on the x-axis, it should be -4 on the y-axis

If it is 1 on the x-axis, it should be -1 on the y-axis

And so on and so forth

Answer:

This relation does not represent a function because the domain 1 repeats.

Answer:

9/140

Step-by-step explanation:

9/20⋅5/35

Factor the number: 35= 5⋅7

9/20⋅5/5⋅7

Cancel the common factor: 5

9/20⋅1/7

Apply the fraction rule

9⋅1/20⋅7

Multiply the numbers: 9⋅1=9

9/20⋅7

Multiply the numbers: 20⋅7=140

9/140

There's your answer ;)

Answer:

384 .cm2

Step-by-step explanation:

Answer:

x= 10( co interior angle)

Answer:

44 bulldogs

Step-by-step explanation:

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

Step-by-step explanation:

Given that:

Null hypothesis : H0: p = 0.65 against the Alternative Ha: p < 0.65,

The test statistic ; z test = - 2.35

From the test statistic value, we can obtain the p value of the test :

To determine if the claim is significant at both α = 0.05 and α = 0.01

We compare the Zstatistic and Zcritical values

If Zstatistic < Zcritical ; then we reject H0; if otherwise, we fail to reject H0

Zcritical at 95% one tailed = - 1.645 (left tail)

Zcritical at 95% one tailed = -2.326 (left tail)

- 2.35 < - 1.645

-2. 35 < 2.326

Since, Zstatistic < Zcritical;

The finding is significant at both α = 0.05 and α = 0.01.