In a parallelogram ABCD with diagonal AC, a student has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle BCA and that angle BAC is congruent to DCA.

Which of the following can be used to prove the triangles congruent by ASA? (4 points)

TB ≅ TD
DB ≅ DB
AC ≅ DB
AC ≅ AC

Answer:

The equation is;

y = 1/2x + 7

Step-by-step explanation:

Here, we want to write in the slope-intercept form, the equation that goes through the two points

The general form of this is;

y = mx + b

where m is slope and b is the y-intercept

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1)

m = (8-6)/(2-(-2))

m = 2/4 = 1/2

So we have ;

y = 1/2x + b

To get b, we use any of the two pints

8 = 1/2(2) + b

8 = 1 + b

b = 8-1

b = 7

You can see that for every one grid square to the right, the graph moves two grid squares up.  Therefore the slope is 2.

Answer:

b [tex]\leq[/tex] 161

Step-by-step explanation:

Create an inequality:

[tex]\frac{b}{7}[/tex] [tex]\leq[/tex] 23

Multiply each side by 7, to isolate b:

b [tex]\leq[/tex] 161

So, the answer b [tex]\leq[/tex] 161

Answer:

b/7 ≤ 23

Step-by-step explanation:

This is the phrase written as an inequality.

Answer: -1, -0.5, -1/10, 0.6

Step-by-step explanation:

-1/10 is the same thing as -0.1.

-0.5 < -0.1 < 0.6

Answer:B

Step-by-step explanation:

Answer:

y = 2(4^(x))

Step-by-step explanation:

In 2012, the park has a population of 32 lions. A year later, in 2013, the park has 128 lions.

This means in 2012, it was 2^(5) lions while after 1 year it was 2^(7) lions

Thus, it increases every year by a ratio of 2^(2)

Thus, in 2011, it was 2^(5) - 2^(2) = 2^(3) lions

In 2010, it was 2^(3) - 2^(2) = 2

Since Lions were introduced in the park in 2010, using f(x), it means;

at x = 0, f(x) = 2

at x = 1, f(x) = 2^(3)

at x = 2, f(x) = 2^(5)

at x = 3, f(x) = 2^(7)

To find an exponential function that models the situation, let's use the generic formula: y = ab^(x)

At x = 0 and y = 2, we have;

2 = a × b^(0)

Thus,a = 2

At x = 1, y = 2^(3)

Thus; 2^(3) = 2 × b^(1)

b = 8/2

b = 4

So the exponential equation is;

y = 2(4^(x))

You can use the fact that the given figures are expressible as 2 raised to some powers.

The exponential function modeling the number of lions to the years passed since 2010 is given as

[tex]f(x) = 2^{1+2x}[/tex]

Those functions which are expressed as some constant raised to the power of the argument called exponential function.

Since 2012  - 2010 = 2 and the number of lions = 32 = [tex]2^5[/tex]

and 2013 -2010 = 3 and the number of lions =128 = [tex]2^7[/tex]

Thus, there is increment of 2 exponent as 1 year was changed.

Thus, we have:

[tex]f(x) = 2^{2x + a}[/tex] where a might be some constant( i took this form of exponent just by trial and error. It was already visible that one year was increasing double output, thus 2x and since there was just double increase and no other effect, there might be some non variable thing(a constant) so i thought to try some variable and see if this can work)

Since at x = 2, we get 2 raised to the power 5

thus.

[tex]2(2) + a = 5\\a = 1[/tex]

Thus,

The exponential function modeling the number of lions to the years passed since 2010 is given as

[tex]f(x) = 2^{1+2x}[/tex]

You can see that this will give correct output for x = 2 and x = 3

Learn more about exponential functions here:

https://brainly.com/question/15680851

Answer:

m = 2

Step-by-step explanation:

It is correct, trust me. I am a whiz at Slope.

Brainliest Please!!??

Answer:

$33.50

Step-by-step explanation:

$9.25 is how much she has in January and she earns 3 times as much in February. So multiply 9.25 and 3, then you get 27.75. We need to find out how much she makes in March so simply add $27.75 and $5.75.

Your answer will be $33.50

Answer:

Inequality:

83 ≤ (82 + 86 + 84 + x)/4 ≤ 87

Step-by-step explanation:

You must collect no less than 80 and no more than 96 pop tabs.

Answer: = 6.109 × 107

Answer: 6.109 x 10^7

Step-by-step explanation: I think

Answer:

The bearing of A from B is 296 degrees

Step-by-step explanation:

Here, we want to find the bearing of point A from point B

To find the bearing of point A from B, we simply subtract the bearing of B from A from 360

Mathematically, that will be;

360 - 64 = 296 degrees

Answer:

£120

Step-by-step explanation:

With regards to the above, the difference between the ratio is

3:1 is 2

I.e

(3 - 1) = 2

Nick gets 2 extra, which is equal to £60

Therefore,

1 share = £60/2 = £30

June gets 1 share = 1 × £30 = £30

Nick would get = 3 × £30 = £90

Therefore, the value gotten by both would be;

= £30 + £90

= £120

Answer:

x = [tex]\frac{25}{6}[/tex]

Step-by-step explanation:

Given expression is,

[tex]2x-\frac{11}{4}x=-\frac{25}{8}[/tex]

[tex]\frac{8x}{4}-\frac{11}{4}x=-\frac{25}{8}[/tex]

[tex]\frac{8x-11x}{4}=-\frac{25}{8}[/tex]

[tex]-\frac{3x}{4}=-\frac{25}{8}[/tex]

[tex]\frac{3x}{4}\times 4=\frac{25}{8}\times 4[/tex]

[tex]3x=\frac{25}{2}[/tex]

[tex]\frac{3x}{3}=\frac{25}{2}\times \frac{1}{3}[/tex]

x = [tex]\frac{25}{6}[/tex]

Answer:

Step-by-step explanation:

it is 327x3 3times then take answer and merge it with December and multiply that and you get your answer

Answer:

For which equations does the fraction 23 make the equation true? Select all that apply.

35 × □ = 20; I rewrote 35 as 351 and then multiplied 2 and 35 to get the numerator, and I multiplied 3 and 1 to get the denominator.

26 × □ = 18126; I rewrote 26 as 126 and then multiplied 1 and 2 to get the numerator, and I multiplied 3 and 26 to get the denominator.

48 × □ = 32; I rewrote 48 as 481 and then multiplied 2 and 48 to get the numerator, and I multiplied 3 and 1 to get the denominator.

22 × □ = 1423; I rewrote 22 as 221 and then multiplied 2 and 22 to get the numerator, and I multiplied 3 and 1 to get the denominator.

23 × □ = 15; I rewrote 23 as 123 and then multiplied 2 and 1 to get the numerator, and I multiplied 23 and 3 to get the denominator.

Answer:

27: -5/11

28: 4x^2+12x

29: (2b-7c+5a)(2b-7c-5a)

30: 2/3

Step-by-step explanation:

27 is pretty simple, start by multiplying both sides by 6

so we have 2(6y+1)=y-3

this equal 12y+2=y-3

Subtract 1y and 2 from both sides to get

11y=-5

divide and get y= -5/11

28: this one is a lot to write so if you need me to explain it leave a comment but I got 4x^2+12x

29: Same deal as 28

(2b-7c+5a)(2b-7c-5a)

30: For this one I just distributed then combined like terms to get y=2/3

Answer:

The answer is x+6

Step-by-step explanation:

The Y intercept from the translated unit and the one before are 6 units apart

Answer:

if its 80 on the other side and the are congruent

ITS C.80

Step-by-step explanation:

Answer:

80 Degrees

Step-by-step explanation:

All triangle angle measures must add up to 180 degrees.

You already have 80 and 20, so add them to get 100. The last angle is 80 degrees.

Answer:

1) x-intercept= (-6,0) y-intercept= (0,-3)

2) x-int= (2,0)  y-int= (0,-5)

Step-by-step explanation:

Answer:

1) x = 2 and y = -4

2) x = 4 and y = 5

Step-by-step explanation:

to check if it's correct, simply plug in the numbers to the x and y value.

1) 2 + 2(-4)

2 + -8 = -6

(x + 2y = -6)

2) 5(4) - 2(5)  

20 - 10 = 10

(5x - 2y = 10)

Answer:

Step-by-step explanation:

= £16855.21  -  ( £16855.21 x 13.5% )

                                                 100

= £ 14,579.75

Answer:

$2850 is the cost of 19 tons of sugar  and $6350 is the cost of trucks and sugar

Step-by-step explanation:

Well if the trucks cost $3500. 19 x 150=$2850 the cost of 19 tons. 3500+2850=$6350 cost of sugar and trucks.

Answer:

Step-by-step explanation:

Answer:

Obtuse

Step-by-step explanation:

It's definitely not a right triangle.

And one angle is greater than 90 degrees.

Answer:

11 im pretty sure y = 11 in your question

9514 1404 393

Answer:

Step-by-step explanation:

Looking at the numbers individually, we have ...

16 = 4×4

42 = 2×3×7

6 = 2×3

17 = 1×17 (prime)

12 = 3×4

49 = 7×7

24 = 2×3×4

7 = 1×7 (prime, a multiple of 7)

11 = 1×11 (prime)

8 = 2×4

__

Multiples of 4:

  16, 12, 24, 8

Multiples of 7:

  42, 49, 7

Multiples of neither:

  6, 17, 11

9514 1404 393

Answer:

  3/8 pound

Step-by-step explanation:

If Felicity started with 3/4 pound and used 1/2 of it, then the amount she used was ...

  (1/2)(3/4 pound) = (1·3)/(2·4) pound = 3/8 pound

Felicity used 3/8 pound of hamburger for dinner.

Answer:

62

Step-by-step explanation:

62+7000000= 7000062 however when you divide that by its constant of the root of the sqared denominator, you get 4. THENNNN you add 3 to planks constand to get 62.

Answer:

[tex]x = 155 \frac{1}{13}[/tex] or 155 1/3 degrees. If you want a decimal, 155.076923 degrees.

Step-by-step explanation:

2,016 is the sum of 13 identical numbers. Let's say the unknown number is [tex]x[/tex]. We'll now write an equation to solve it.

[tex]13x = 2016[/tex]

Divide both sides by 13.

[tex]x = \frac{2016}{13}[/tex]

Now, I went ahead and solved this and ended up with a repeating decimal. But for your sake we'll just make it a nice mixed number.

13 goes into 2016 155 times.

Here, I'll check for you.

[tex]13 * 155 = 2015[/tex]

So, if we were to turn this into a mixed number, we'd get something like this.

[tex]x = 155 \frac{1}{13}[/tex]

That should be your fourteenth angle measure.

Answer:

Alex needs to make 10 tables per week.

Step-by-step explanation:

If his base pay is $300, then subtract it from $800, you get $500. Then divide $500 by how much Alex earns per table, $50, then you get 10. Alex needs to make 10 tables per week.

Answer:

24 Tennis balls

Step-by-step explanation:

Calculation for How many tennis balls are left

First step

Since we have 12 can with 3 balls each Let the number of balls that the tennis pro has at the beginning be x

x=(12 can ×3 balls each)

x=36

Second step

Since we have 4 players who lost 3 ball each Let the total number of balls that was lost be y

y=(4 players×3 balls each)

y=12

Third step is to calculate How many tennis balls are left

Since x represent the number of balls at the beginning and y represent the number of balls that was lost , then let the number of tennis balls that was left after the session represent z

z=36−12

z=24 Tennis balls

Therefore the numbers of tennis balls that are left will be 24 Tennis balls

Answer:

x < 7

Step-by-step explanation:

Given

5x - 7 < 28 ( add 7 to both sides )

5x < 35 ( divide both sides by 5 )

x < 7

Answer:

x>7

Step-by-step explanation:

Treat this inequality as a regular equation.

-5x<35

-x<7

x>7

(You switch signs if you divide with a negative btw.)