Find all values of x that make the triangles congruent. Explain.

When x=___, AB=CD=___ and AC=BD= ___, which means that AB≅CD and AC≅BD, BC≅BC by the Reflexive Property of Congruence. So, the triangles are congruent by the SSS Congruence Theorem.

I got x=5, but I'm confused about the AB=CD=___ and AC=BD=___. Could someone explain?

Answer:

[tex]Total = \$73[/tex]

Step-by-step explanation:

Given

[tex]Three\ 8lb = \$2.25/lb[/tex] --- Dog Food

[tex]Two\ 4lb = \$1.75/lb[/tex] ----- Cat Food

[tex]Three\ \frac{1}{4}lb = \$6.98[/tex] -------- Fish Food

Required

Determine the amount spent

For Dog Food

[tex]1\ lb = \$2.25[/tex]

Amber bought 8lb.

So, that is:

[tex]8 * 1\ lb = \$2.25 * 8[/tex]

[tex]8\ lb = \$18[/tex]

He bought 3 of those;

[tex]Cost = 3 * \$18[/tex]

[tex]Cost = \$54[/tex]

For Cat Food

[tex]1\ lb = \$1.75[/tex]

Amber bought 4lb

So, that is:

[tex]4 * 1\ lb = 4 * \$1.75[/tex]

[tex]4\ lb = \$7[/tex]

He bought 2 of those;

[tex]Cost =2 * \$7[/tex]

[tex]Cost =\$14[/tex]

For Fish Food

[tex]1\ lb = \$6.98[/tex]

Amber bought 1/4lb

So, that is:

[tex]\frac{1}{4} * 1\ lb = \$6.98 * \frac{1}{4}[/tex]

[tex]\frac{1}{4}\ lb = \$1.745[/tex]

He bought 3 of those;

[tex]Cost = 3 * \$1.745[/tex]

[tex]Cost = \$5.235[/tex]

Total amount spent  is:

[tex]Total = \$54 + \$14 + \$5.235[/tex]

[tex]Total = \$73.235[/tex]

[tex]Total = \$73[/tex] (approximated)

Answer:

The cost of buying used video games from both companies will the same at the 4th video game.

Step-by-step explanation:

Gamestop equation: 7x

Gamefly equation: 3x + 16

7x = 3x + 16

Subtract 3x from both sides;

4x = 16

Divide both sides by 4x

x = 4

Answer:

Step-by-step explanation:

Given the height of the object as it drops from the observation deck expressed as;

h= -16t^2+152

To determine the the time it will take the object to be 8 feet above the valley floor, we will substitute h = 8 into the equation and calculate t as shown;

8 = -16t^2+152

subtract 8 from both sides

8-8 = -16t^2+152-8

0 =  -16t^2+144

0-144 =  -16t^2

-144 = -16t^2

16t^2 = 144

Divide both sides by 16;

16t^2/16 = 144/16

t^2 = 9

t = √9

t = 3seconds

Hence it will take 3 seconds for the object to be 8 feet above the valley floor

Answer:

A and C

Step-by-step explanation:

Option A, Option C :D

Answer:

Pretty sure its 1/6

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

First multiply both sides by 7, which would get you 4w= 392. Then divide each side by 4. Your answer should be w=98

Answer:

7/10

Step-by-step explanation:

(2/5)%(-4/7)

We will change the second fraction to make multiplication

So it will be 2/5×-7/4

=. -14/20

= -7/10

Answer:

Step-by-step explanation:

Busy Village is how many times the population of Boring Town?

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[tex]600 = 6 \times 10 \times 10[/tex]

[tex]600 = 2 \times 3 \times 2 \times 5 \times 2 \times 5[/tex]

[tex]600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5[/tex]

[tex]600 = {2}^{3} \times 3 \times {5}^{2} [/tex]

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Answer:

45.6

Step-by-step explanation:

24% out of 190 = 45.6

Answer:

no bc if you simplify it's 17=18 which is not right

Answer:

true

Step-by-step explanation:

because that has a solution

I think it’s rise over run but it might not be

Answer:

5 1/8 - 2 5/6

Step-by-step explanation:

Answer: 2  7 /24

Answer:

2 7/24

Step-by-step explanation:

let’s go ahead and make these fractions have the same denominator.

1/8 and 5/6

what multiple do they share?

8 * 3 = 24

6 * 4 = 24

we will change their denominators to 24.

Now to change the numerator you have to multiply it by what you multiplied the denominator by:

1/8 * 3/3 = 3/24

5/6 * 4/4 = 20/24

now we will add the whole numbers to the fraction:

5/1 * 24/24 = 120/24

2/1 * 24/24 = 48/24

now add these to the correct fraction:

120/24 + 3/24 = 123/24

48/24 + 20/24 = 68/24

Now subtract!

123/24 -68/24 = 55/24

Simplify:

55/24 = 2 7/24

Answer:

Triangle QNR is congruent to Triangle RMQ by ASA congruence

Step-by-step explanation:

In Triangle QNR and Triangle RMQ,

QR = QR  ( Common )

Angle MRQ = Angle NQR ( given )

Angle MQR = Angle NRQ ( Isoceles Triangle Property )

Therefore, Triangle QNR is congruent to Triangle RMQ by ASA congruence.

Step-by-step explanation:

b + 16 = 20

b = 20 - 16

b = 4%

i am sorry if this is wrong :/

Answer:

point-slope form:  [tex]y-3=-\frac{1}{3}(x - 3)[/tex]

slope-intercept form: [tex]y=-\frac{1}{3}x+4[/tex]

Step-by-step explanation:

point-slope form is: y - y1 = m(x - x1)

slope-intercept form is: y = mx + b

The formula used to find the slope(m): [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) = (3, 3)

(x2, y2) = (-6, 6)

The first thing we need to do to write the equations is to find the slope. We can do this by inputting the given points into the slope formula:

[tex]\frac{6-3}{-6-3}[/tex]

Simplify:

6 - 3 = 3

-6 - 3 = -9

[tex]\frac{3}{-9} =-\frac{1}{3}[/tex]

The slope is [tex]-\frac{1}{3}[/tex]. We can now write the equation in point-slope form:

[tex]y-3=-\frac{1}{3}(x - 3)[/tex]

To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:

y = mx + b

3 = [tex]-\frac{1}{3}[/tex](3) + b

Now you can solve for b:

3 = [tex]-\frac{1}{3}[/tex](3) + b

3 = -1 + b

4 = b

Now that we know the value of b, we can write the equation in slope-intercept form:

[tex]y=-\frac{1}{3}x+4[/tex]

I hope this helps. :)

Equation in point-slope form of the line that passes through the given points (-6,6) and (3,3) is y=-1/3x+4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The given two points are (-6,6) and (3,3)

x1=-6, y1=6, y1=3 and y2=3

m=y2-y1/x2-xq

m=3-6/3-(-6)

m=-3/9

m=-1/3

Hence slope of line is m=-1/3

To write the equation in slope-intercept form, we need to find the value of b. To find its value, input the value of the slope and one point into the equation for slope-intercept form:

y = mx + b

3=-1/3(3)+b

4=b

Now that we know the value of b, we can write the equation in slope-intercept form:

y=-1/3x+4

Hence equation in point-slope form of the line that passes through the given points (-6,6) and (3,3) is y=-1/3x+4.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

D

Step-by-step explanation:

Estimating 1,596 will give you 1,600. Estimating 42 will give you 40. Dividing 1,600 ÷ 40 will give you 40. So, the answer would be D.

Step-by-step explanation:

The marked price of an article is 25% above the SP and the CP is 20% below the selling price. What is the rate of discount and the profit percentage?

Let C, M & S denote cost-price, marked-price & sell-price respectively of the article.

Hence from above data we get following relations,

M = (1 + 25/100)*S = 1.25*S ….. (1a)

C = (1 - 20/100)*S = 0.80*S ….. (1b)

From (1a) we get,

S = (100/125)*M = (4/5)*M

or S = (1 - 1/5)*M = (1 - 20/100)*M ….. (2a)

From (1b) we get,

S = (100/80)*C = (5/4)*M

or S = (1 + 1/4)*C = (1 + 25/100)*C ….. (2b)

Therefore

It is evident from (2a) that

the discount percentage = 20% [Ans]

It is evident from (2b) that

the profit percentage = 25% [Ans]

Answer:

230

Step-by-step explanation:

230

Answer:

-0.0936538462

Step-by-step explanation:

Start by solving the right side of the equation

1 - 2.87 = -1.87

now we have:

3 + 5.2c = -1.87

subtract 3 from both sides to get:

5.2c = -4.87

divide both sides by 5.2 to get:

-0.0936538462

hope that's what you're looking for! :)

Answer:

8 gallons per minute

Step-by-step explanation:

24 gallons in 3 minutes

you divide 24 by 3 which is 8

40 gallons in 5 minutes

you divide 40 by 5 which is 8

the relationship is that in both the answer was 8 as in 8 gallons per minute

Complete Question:

You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year.

The initial heights are shown.

Write a system of linear equations that represents this situation.

Answer:

[tex]s(x) = 8 + 4x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Step-by-step explanation:

Given

Spruce Tree (s):

[tex]Initial\ Height = 8[/tex]

[tex]Growth = 4[/tex] (yearly)

Hemlock Tree (h):

[tex]Initial\ Height = 14[/tex]

[tex]Growth = 6[/tex] (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

[tex]Equation = Initial\ Height + Growth * x[/tex]

For Spruce Tree (s):

[tex]s(x) = 8 + 4 * x[/tex]

[tex]s(x) = 8 + 4x[/tex]

For Hemlock Tree (h):

[tex]h(x) = 14 + 6 * x[/tex]

[tex]h(x) = 14 + 6x[/tex]

Hence, the equations are [tex]s(x) = 8 + 4x[/tex] and [tex]h(x) = 14 + 6x[/tex]

Answer:

A: 0.95 Liters

B: 1 quart

C: 100 centilitres

D: 1 Liter

Step-by-step explanation

Got it right in edge 2020

Answer:

[tex] \huge \orange{ \frac{1}{6} } \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{7 - 6}{7 - 1} = \frac{1}{6} \\ [/tex]

We have the final answer as

[tex] \frac{1}{6} \\ [/tex]

Hope this helps you

Answer:

Step-by-step explanation:

From the figure attached,

Coordinates of the vertices of the given rectangle ABCD,

A(3, 6), B(12, 6), C(12, 1) and D(3, 1)

Rule for the reflection of a point across x-axis,

(x, y) → (x, -y)

After reflection of the given rectangle across x-axis image points will be,

A(3, 6) → A'(3, -6)

B(12, 6) → B'(12, -6)

C(12, 1) → C'(12, -1)

D(3, 1) → D'(3, -1)

Now we can plot these points on the graph to get the image of rectangle ABCD.

From the figure attached,

Coordinates of the vertices of the given rectangle ABCD,

A(3, 6), B(12, 6), C(12, 1) and D(3, 1)

Rule for the reflection of a point across x-axis,

(x, y) → (x, -y)

After reflection of the given rectangle across x-axis image points will be,

A(3, 6) → A'(3, -6)

B(12, 6) → B'(12, -6)

C(12, 1) → C'(12, -1)

D(3, 1) → D'(3, -1)

Now we can plot these points on the graph to get the image of rectangle ABCD.

Answer: 7.1 meters

Step-by-step explanation:

Given that :

Height of platform from which Doug dived = 5 meters above water

Doug's position after diving = 2.1 meters below water surface

How far does Doug's dive take him?

Distance above water surface to water surface = 5m

Final position to water surface = 2.1 meters

Hence, total distance covered after dive ;

5 meters + 2.1 meters = 7.1 meters