Triangles ABC and DBC have the following characteristics:



BC is a side of both triangles

∠ACB and ∠DCB are right angles

AC ≅ DC

Which congruence theorem can be used to prove △ABC ≅ △DBC?

AAS
SSS
HL
SAS

Step-by-step explanation:

Let's turn that into a linear system:

\{ {{y=0.05x+20} \atop {y=0.25x+10}} .{y=0.25x+10y=0.05x+20.

Set the equations equal to each other and solve:

0.05x+20=0.25x+100.05x+20=0.25x+10

0.2x=100.2x=10

x=50x=50

We then plug in to get yy :

0.25(50)+10=22.50.25(50)+10=22.5

The solution to the system is \{ {{x=50} \atop {y=22.5}} .{y=22.5x=50. .

Now, let's turn our attention to the statements.

The first one is false: Emilia's rate is higher, and the two plans cost the same at 50 texts, after which point Hiroto's plan becomes cheaper!

The second one is also false: we already figured out that the lines intersect at x=50x=50 .

The third statement is also false: as above, the lines intersect at x=50x=50 .

The fourth statement is true: the lines intersect at x=50x=50 .

In conclusion, the fourth statement - "Both plans cost the same when 50 texts are sent" - is true.

Cred to ultroid

Answer:

301

Step-by-step explanation:

7x3 + 7x4 and add a 0 on to the end

Answer:

x < -3

Step-by-step explanation:

-3x + 5 > 14

Subtract both sides by 5

-3x > 9

Divide both sides by -3 to get x alone.

x < -3      

The sign flips because you are dividing by a negative number. The sign flips when you divide or multiply by a negative number.

Answer:

D) 8

Step-by-step explanation:

8 x 2.5 = 20

and the rest is adult haircuts

6 x 5 = 30

Answer:

D) 8 Children’s Haircuts

Step-by-step explanation:

Let a represent the amount of adult haircuts and c represent the amount of child haircuts.

We know that she gave exactly 14 haircuts. So:

[tex]a+c=14[/tex]

We also know that she made $50.00. Therefore, the price of each haircut times their respective amounts will total $50. So:

[tex]5a+2.5c=50[/tex]

This is now a system of equations.

We can solve this using substitution. From the first equation, let’s subtract c from both sides:

[tex]a=14-c[/tex]

Now, we can substitute this into the second equation for a. This yields:

[tex]5(14-c)+2.5c=50[/tex]

Distribute:

[tex]70-5c+2.5c=50[/tex]

Combine Like Terms:

[tex]70-2.5c=50[/tex]

Subtract 70 from both sides:

[tex]-2.5c=-20[/tex]

Divide both sides by -2.5:

[tex]c=8[/tex]

Therefore, Kate gave 8 children’s haircuts.

This means that she gave [tex]14-8=6[/tex] adult haircuts.

So, our answer is D. She gave 8 children’s haircuts.

Answer:

84.2105263 % decrease

Step-by-step explanation:

Take the original and subtract the new

95-15 = 80

Divide by the original

80/95

.842105263

Change to percent form

84.2105263 % decrease

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

Answer:

X has infinite solutions because no matter what value you plug in for x, both sides will always be equal.

Step-by-step explanation:

Answer:

143.6

Step-by-step explanation: its 143.6 because 9 rounded to the nearest number is 10 and that bumped the 5 to a six

Answer:

this is volume, right?

Step-by-step explanation:

i have no idea though hahahahahah

frjghherhnetjhnjkg fgfhgheriugheriughierg

renjgregnjergjerbgg rehgbjregbjergjerbgj

Answer:

y=3x+7  I think

hope this helps!

Answer:

[tex]y=3x+7[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

[tex]3y=9x+21[/tex]

[tex]\frac{3y}{3}=\frac{9x}{3} +\frac{21}{3}[/tex]

[tex]y=3x+7[/tex]

Answer:

y = -9

Step-by-step explanation:

Step 1: Write equation

y + 7 = -2

Step 2: Solve for y

Step 3: Check

Plug in y to verify it's a solution.

Answer:

it is either 2^n+5 or n²+5

Step-by-step explanation:

I'm not one hundred percent sure

Answer:

-7f

Step-by-step explanation:

move -7 to the left of f

The angles in a triangle add up to 180 degrees, so the third angle must be 180 - 23 - 35 ---> 157 - 35 --> 122.

122 degrees.

Hope this helps!

The measure of the third angle is 122° and the triangle is an obtuse angle triangle.

A triangle is a 2D figure joined by the lines of three non-colinear points.

There are three types of triangles they are:- Equilateral triangle, Isosceles triangle, and Scalene triangle.

We know that sum of all the interior angles of a triangle is 180°.

Given two angles which measure 23° and 35° and assuming the third angle to be x°.

∴ 23° + 35° + x° = 180°.

58° + x° = 180°.

x = 180° - 58°.

x = 122°.

We can conclude that the triangle is an obtuse angle triangle.

learn more about triangles here :

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Answer:

what are they equal to I can solve if that info is not given

Answer: 5

Step-by-step explanation:

I got it right on the test.

The slope of the function is 5.

The correct option is C.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We can take two points from the table as (-4, -16) and (-2, -6).

So, slope of the function is

= (-6 - (-16))/ (-2 - (-4))

= (-6 + 16)/ (-2 +4)

= 10 /2

= 5

Thus, the required slope is 5.

Learn more about Slope here:

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Answer:

Jessica bought 2.25 yards more material than Derek.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Originally, Mei pays $24 for 12 issues.

Therefore, the cost per issue is:

[tex]c=\frac{\$24}{12\text{ issue}}=\$2\text{ per issue}[/tex]

With the coupon, Mei pays the same amount of $24 but for 15 issues.

So, the cost per issue now is:

[tex]c=\frac{\$24}{15\text{ issues}}=\$1.60\text{ per issue}[/tex]

Therefore, the coupon lowered the price of the issue by $0.40.

Our answer is A.

Answer: The coupon lowered the cost per issue by $0.40.

Original price of issue: $2

24 ÷ 12 = 2

Mei added 3 more issues, but she still pays $24.

The answer is A.

Hope this helps you!

Answer:

The height of triangle is 24 cm.

This is the question in English. In a neighborhood, an ice cream truck passes every 8 days and a food truck passes every two weeks, today both came together, in how many days will they get back together?

Answer / Respuesta:

Spanish:  La respuesta sería 56 días más.

English: The answer would be 56 more days.

Step-by-step explanation: / Explicación paso a paso:

English: The first time they meet would be at 56 days. So it would be 56 more days until they meet again.

Spanish ( Español): La primera vez que se reúnan sería a los 56 días. Así que pasarían 56 días más hasta que se vuelvan a encontrar.

Answer:

-15

Step-by-step explanation:

The required solution is 15.

It is required to find the solution.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

By the distance formula we get,

Distance between -3 and 12 is

=12-(-3)

=15

Therefore, the required solution is 15.

Learn more details about arithmetic here:

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Answer:

[tex]a =\frac{m+p}{3}[/tex]

Step-by-step explanation:

[tex]3a - p = m[/tex]

→ First plus p to both sides to isolate 3a

[tex]3a = m+p[/tex]

→ Divide both sides by 3 to isolate a

[tex]a =\frac{m+p}{3}[/tex]

Answer:

see explanation

Step-by-step explanation:

Mia is wrong in that she has subtracted p from both sides instead of adding p to both sides.

Given

3a - p = m ( add p to both sides )

3a = m + p ( isolate a by dividing both sides by 3 )

a = [tex]\frac{m+p}{3}[/tex]

Answer:

Each cookie costs $1.30

Step-by-step explanation:

7x+2=11.10

Subtract 2 from both sides

7x=9.10

Divide both sides by 7

x=1.30

Answer:

I think you need to multiply to get the answer, since there's a keyword that it's "per"

Step-by-step explanation:

Divide and then Multiply

8/9 = 0,8

0,8 x 8 = 6,4

(I think that's the answer, hope I helped you)

Answer:

It will take 4 hours for the temperatures to be the same. The temperature will be 3° at that time.

Step-by-step explanation:

Coldspot = -7 + 2.5x

Frostberg = 19 - 4x

First, we are going to input our values into the variable in a table.

          Coldspot                            Frostberg

1     -7 + 2.5(1) = -4.5                    19 - 4(1) = 15

2     -7 + 2.5(2) = -2                     19 - 4(2) = 11

3     -7 + 2.5(3) = 0.5                   19 - 4(3) = 7

4     -7 + 2.5(4) = 3                      19 - 4(4) = 3

It will take 4 hours for the temperatures to be the same. The temperature will be 3° at that time.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

4 hours

Step-by-step explanation:

Answer:

(a) 102 (b) 65.5

Step-by-step explanation:

(b) 85-23%=65.45 Round 65.45 up to 65.5