TESTS OF
ADULT BASIC
EDUCATION
ABE
LOCATOR TEST

Answer:

parallel

Step-by-step explanation:

If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel

========================================================

Explanation:

This is due to the converse of the corresponding angles theorem.

Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.

The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.

Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.

Check out the image below to see an example of what I mean.

Answer:

n - m is positive

Step-by-step explanation:

Given

m and n on number line

Required

Which is true

From the attachment, we have:

[tex]n >m[/tex]

[tex]n > 0[/tex] and [tex]m < 0[/tex]

[tex](a):\ n - m[/tex]

Since: the above inequalities are true, then:

[tex]n - m > 0[/tex]

(a) is true

There is no need to test other options; since (a) is true

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

[tex]y=A\sin\left(B(x-C)\right)[/tex]

Amplitude: [tex]|A|[/tex]

Period: [tex]\frac{2\pi}{B}[/tex]

Phase Shift:  C

In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]

Amplitude: 4

Period: [tex]\frac{2\pi}{2}=\pi[/tex]

Phase Shift: [tex]\frac{3\pi}{4}[/tex]

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

Answer:

4

Step-by-step explanation:

2m−13=−8m+27

2m+8m=27+13

10m=40

m=40÷10

Therefore, m=4

Answer:

2m - 13 = -8m +27

2m + 8m = 27 + 13

10m = 40

m = 4

Answer:

always, feasible

Step-by-step explanation:

In a linear programming problem we find the extreme value of the linear function which is subjected to some certain constraints.

When the [tex]\text{ maximization linear programming}[/tex] consists of all the [tex]\text{less than or equal}[/tex] to constraints having the all positive coefficients and the objective functions consisting of all the objective function coefficient that is positive, then we can round the linear programming optimal solution values from the decision variables will [tex]\text{always}[/tex] result in the [tex]\text{feasible}[/tex] solution to the integer linear programming problem.

assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400

Answer:

1045 ft³ of water

Step-by-step explanation:

Given :

Length = 20 feets

Width = 9 1/2 feets

Height = 5 1/2 feets

The maximum of water the pool can hold is equivalent to the volume of the pool ;

Hence, Volume = Length * width * height

Volume = 20 * 9 1/2 * 5 1/2

Volume = 1045 ft³ of water

The domain and the range of its inverse function, h^-1( x) are x < 4 and y < 5

The domain and the range of the function are:

x < 5 and y < 4

When the function is inverted, the domain becomes the range and vice versa.

This means that the domain and the range of its inverse function, h^-1( x) are x < 4 and y < 5

Read more about domain and range at:

https://brainly.com/question/2264373

#SPJ1

Answer:

4/5

Step-by-step explanation:

1/2 ÷6=4/5

Answer: B

Step-by-step explanation:

Good Luck!

2(x2-6x+9)-4(x-3) .... Report. 10/05/20 ... Since p(x) = 2x2 - 4x, we get: 4 - 4(x-3) = 4 - 4x + 12 = -8 - 4x (assuming 2x2 ... 4x. Note ** if in the original equation "2x2" means "2 times x to the power of 2" ... No packages or subscriptions, pay only for the time you need.2 answers Top answer:

p(x) = 2x2 – 4x and q(x) = x – 3, (p•q)(x).

The value of h(10) if h(x) = 6 – X and (pºq)(x) are -4 and 2x² - 16x + 18 respectively

h(x) = 6 – x

h(10) = 6 - 10

= -4

If

p(x) = 2x² - 4x

q(x) = x - 3

(pºq)(x)

= (2x² - 4x) (x - 3) × 4

= 2x² - 16x + 18

Learn more about equation:

https://brainly.com/question/2972832

Answer:

The answer is 6

Step-by-step explanation:

4 (3) - 6

12 - 6

= 6.

Answer:

-3

Step-by-step explanation:

the question really doesnt make sense

Answer:

15/2=7.5

7.5/100=0.075

0.075$ per cup.

-TheOneandOnly003

Hope this answer helps you :)

Have a great day :)

Mark brainliest

Answer:

A. True

Step-by-step explanation:

Even numbers are divisible by 2 with no remainder. 13/2 = 6.5 so yes.

Answer:

P = 8 l

Step-by-step explanation:

Let's consider a rectangular field with dimensions:

We know that the width (w) is three times the length (l), that is,

w = 3 l   [1]

We can calculate the perimeter (P) of a rectangle using the following expression.

P = 2 l + 2 w   [2]

If we replace [1] in [2], we get,

P = 2 l + 2 (3 l)

P = 2 l + 6 l

P = 8 l

Answer:

thanx for the reminder

Step-by-step explanation:

have a wonderful day :)

forty two lakh seventy eight thousand two hundred and six

Answer:

letter A

Step-by-step explanation:

This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.

Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5

So, 13.5+22.5=36, or letter A

Answer:

Step-by-step explanation:

4(1/4) + 3/8 + 3(1/2) + 5/8 + 3/4

1 + 8/8 + 3/2 + 3/4

1 + 1 + 12/8 + 6/8

2 + 18/8

2 + 2 1/4

= 4 1/4 pounds

Answer:

A. 4

Step-by-step explanation:

364/89 = 4.089

4.089 estimated to 4

Answer:

change your pfp and ill give u the answer

Step-by-step explanation:

Answer:

x = 17.5 degrees

Step-by-step explanation:

So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.

2x+10 = 45

Move over the 10

2x = 35

Divide by 2

x = 17.5 degrees

That's all.

Answer:

69/11

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−3+2x−7+5x−1=58

4x+−3+2x+−7+5x+−1=58

(4x+2x+5x)+(−3+−7+−1)=58(Combine Like Terms)

11x+−11=58

11x−11=58

Step 2: Add 11 to both sides.

11x−11+11=58+11

11x=69

Step 3: Divide both sides by 11.

11x /11  = 69/11

Answer:

x = 69/11

Step-by-step explanation:

4x - 3 + 2x - 7 + 5x - 1 = 58 collect like terms ↓

11x - 3 - 7 - 1 = 58

11x - 11 = 58 move the constant to the right-hand side and change its sign ↓

11x = 58 + 11 add the numbers ↓

11x = 69 then divide both sides of the equation by 11 ↓

x = 69/11 ;)

Answer:

X + (X + 2) = 52

Step-by-step explanation:

Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:

X + (X + 2) = 52

2X + 2 = 52

X = (52 - 2) / 2

X = 50/2

X = 25

X + 2 =?

25 + 2 = 27

Therefore, the consecutive odd integers are 25 and 27.

Answer:

B. 13

Step-by-step explanation:

I calculated it logically

Answer:

[tex](a)\ \{SSS\}[/tex]

[tex](b)\ \{FSSS\}[/tex]

[tex](c)\ \{FFSSS, SFSSS\}[/tex]

[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]

[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]

Step-by-step explanation:

Given

[tex]S\to[/tex] Success

[tex]F\to[/tex] Failure

[tex]n \to 3[/tex] Consecutive trials until S happens

[tex]Y \to[/tex] Number of trials

For every possible outcome, the last 3 must be SSS. So, we have:

[tex](a)\ Y = 3[/tex]

The only possibility here is: [tex]\{SSS\}[/tex]

because 3 trials implies that all outcomes must be S.

[tex](b)\ Y = 4[/tex]

The only possibility here is:

[tex]\{FSSS\}[/tex]

because 4 trials implies that the first outcome must be F

[tex](c)\ Y = 5[/tex]

The possibilities are:

[tex]\{FFSSS, SFSSS\}[/tex]

because 5 trials implies that the first and the second outcomes must be FS or SF.

[tex](d)\ Y = 6[/tex]

The possibilities are:

[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]

because 6 trials implies that the first three outcomes are: FFF, SSF and SFF

[tex](e)\ Y = 7[/tex]

The possibilities are:

[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]

because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))

Answer:

C + 1 < 3 is not equivalent.

Step-by-step explanation:

B - 1 < 2 ⇒ B < 3

C + 1 < 3 ⇒ C < 2

D - 2 < 1 ⇒ D < 3

Therefore, all inequalities are equivalent except C + 1 < 3.

Answer:

53°

Step-by-step explanation:

angle 1 = ½×( 50+56) = ½×106 = 53°

Answer:

The answer is 489

Answer:

four hundred eighty-nine

Step-by-step explanation:

I multiplied 3 quarters times 652