If ΔABC ≅ ΔDEF by SSS and AB = 5x + 6 and DE = 3x +10, then what must be the value of x?

Answers

Answer 1

Answer:

ab=de corresponding side of the congruent triangle are equal

5x+6=3x+10

5x-3x=10-6

2x=4

x=4/2=2

2 is your answer


Related Questions

Find the values for a and b. Image is attached

Answers

Answer:

it will be 1/2. I am not quit sure but the angles are 45,90,and 45 if that helps.

Step-by-step explanation:

In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot

Answers

Answer:

[tex]CD = 4.4ft[/tex]

Step-by-step explanation:

Given

[tex]DE = 12[/tex]

[tex]\angle C = 70^\circ[/tex]

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

[tex]tan(70) = \frac{DE}{CD}[/tex]

Substitute 12 for DE

[tex]tan(70) = \frac{12}{CD}[/tex]

Make CD the subject

[tex]CD = \frac{12}{tan(70)}[/tex]

[tex]CD = \frac{12}{2.7475}[/tex]

[tex]CD = 4.4ft[/tex] --- approximated

Answer:

12.8

Step-by-step explanation:

The coordinates below represent a triangle that was dilated. J(-3, -12) -->
J'(-1,-4); K(-6, -15) K'(-2,-5); L(-9, -12) --> L'(-3,-4). What was the scale
factor that was used in the dilation? *
1 point
02
1/3
2/3
Option 4
Which is the correct algebraic representation of the transformation
1 point

Answers

Answer:

1/3 is the dialation

Step-by-step explanation:

Algebraic representation is (x, y) → (kx, ky), and it is by 1/3 because -3 is 1/3 of -9 and -4 is 1/3 of -12.

The odometer in a car measures the number of miles driven by the car since it was made. During a trip, the odometer reading in Anita’s car is modeled by the function y=9500+55x, where x represents the number of hours driven during the trip and y represents the odometer reading in miles.

Part A

What is the meaning of the rate of change in this function?


The number of miles driven each hour during the trip.

The total number of miles driven at the beginning of the trip.

The total number of miles driven at the end of the trip.

The number of miles driven during the trip.
Question 2
Part B

What was the odometer reading, in miles, before Anita’s trip?

Answers

Answer:

Step-by-step explanation:

Part A

The units on 9500 must be miles. So if x is time, then 55 must be the rate at which she travels ie 55 miles per hour. So the answer must be A.

Part B

The trip began when the time was zero. Therefore x is zero. What remains is the mileage on the odometer when x = 0.  The answer must be 1950.

Help me out please???

Answers

Answer: neither refer to image

Which set of numbers is ordered from greatest to least?
A. -6, -10, 0,3
B.-7, -5, 2,6
C. 4, 3, -2,-6
D.-3, -6, 9, 11

Answers

Answer:

C

Step-by-step explanation:

Positives are bigger than negatives, so the highest is 4 and the lowest is Negative 6.

Answer:

c is the answer

Step-by-step explanation:

because when the number is negative it's lowe than a positive number and the answer "c" has the first number as a positive which that number is the greatest out of all of them in that answer

Help me with this!! Will mark Brainliest

Answers

Answer:

yes both are the distance of 99mm

Answer:

yes

Step-by-step explanation:

they are equal in length

PLZ HELP!! I'm really stuck

>n

Answers

A is right one to choose

Evaluate the expression when g=3 and h= 17
h−5g

Answers

2.
EXPLANATION:
If g= 3 we can replace g with 3.

Now we have h-5 x 3

and if h= 17, we can replace h with 17.

Now we have 17 - 5 x 3.

because of pemdas, multiplication is first

5 x 3 is 15,

17 - 15 is 2.

2.


Answer:

2

Step-by-step explanation:

17 - 5(3) (Plug in)

= 17-15 (Multiply)

= 2 (Simplify)

what is the value of y?

Answers

Answer:

the answer to that is 4 hope it help

Answer:

y = 8

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

y = 8

The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surface area of the prism?

Answers

Answer:

170 ft²

Step-by-step explanation:

Surface area = 4*lateral faces + 2*bases

A = 4*30 + 2*25 = 170 ft²

Plz help i need help thx brainliest 5 star!!!!!!!!!!!!!

Answers

Answer:

Part A: d ≥ 500

Part B: d must be over or equal to 500 but can go infinity at 500+

Step-by-step explanation:

Part A:

≥ stands for "at least" and d has to be "at least" 500,

hence d ≥ 500

Can somebody help me on this and if so please answer correctly​

Answers

The answer is A. Good luck man!! :)

3
4Xα =αX 4 what rule is being used in each in of these equations :commutative,associative or distributive​

Answers

Answer:

commutative property........

What is the area of this figure?​

Answers

Answer:

Im not going to give you the answer but try this by your self.

Step-by-step explanation:

To figure out the area multiply each side together. To find the perimiter add all the sides.

Answer:

671

Step-by-step explanation:

16 × 9 = 144

13 + 16 = 29

29 × 9 = 261

9 + 29 = 38

38 × 7 = 266

266 + 261 + 144 = 671

On a certain hot​ summer's day, 218 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $349.75.
How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

We call x the number of children and y the number of adults

We have system of equations

x + y = 218 (1)

1.25x + 2y = 349.75 (2)

(1) => x = 218 - y. Replace x in (2) 1.25 (218-y) + 2y = 349.75

=> y = 103 replace y in (1) x = 218-103 = 115

Children and how many adults swam at the public pool that​ day is : 115 and 103

Step-by-step explanation:

1
3.1.1 What does 'in excess of' mean?​

Answers

Answer:

more than.

"a top speed in excess of 20 knots"

Similar:  "more than"  "over"  "above"  "over and above"  "beyond"

find the value of given expression
[tex] \sqrt[3]{216} [/tex]

Answers

the answer to this expression is 6!

Help asap plss i will give you brainliest

Answers

Answer:

A. -80x + 24

Step-by-step explanation:

- 8( 10x - 3 )

- 8( 10x )

= - 80x

- 8 ( - 3 )

= 24

- 80x + 24

Remember, when you multiply a negative number with another negative number it will become positive

Hope this helps dude

-80x+24 hope this helped have a nice day✌️

pretty please help i will mark brainlyist

Answers

Answer:

(4,3) is 2

(-2,5) is 1

(-1,-1) is 3

(3,-5) is 4

Step-by-step explanation:

Answer:

put the green dot 4 marks to the right and 3 marks up

put the purple dot 2 marks to the left and 5 marks up

put the blue dot 1 mark to the left and 1 mark down

put the pink dot 3 marks to the right and 5 marks down

Step-by-step explanation:

its a pretty self explanitory question. just put the colord dots on their matching coordinates

1.P(6,6)=
2.P(7,r)=840
3.P(n,3)=
4.P(13,r)=156

Please help ​

Answers

I don't understand the question. What do I have to do? Are those points? if yes, what does that equal sign even mean?

Please help it is geometry 6th grade

Answers

B = 6 units
Explanation: Step by step

please help me find -r+7r-15p-7p

Answers

Answer:

−22

The area of a rectangular
driveway is 2x2 + 15x + 25.
The width of the driveway is
x + 5. What is the length of
the driveway?

Answers

Answer:

2x+5

Step-by-step explanation:

Okay so lets first factor 2x^2+15x+25

2*25=50

10+5=15

10*5=15

(x+10/2)(x+5/2)

=(x+5)(2x+5)

we know that the width is x+5 so that means the length has to be 2x+5

Which function is represented by the graph?
A)f(x) = 2x + 6
B)f(x) = -2x + 6
C)f(x) = 1/2x + 6
D)f(x) = -1/2x + 6

Answers

Answer:

It is (D)

[tex]f(x) = \frac{ - 1}{2} x + 6[/tex]

Step-by-step explanation:

I hope that is useful for you

If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at least five out of six games in a series against the Rangers? Round your answer to the nearest thousandth.
ANSWER IS 0.737

Answers

0.737 is the correct answer.

Express each of the following in the form
[tex] {7}^{x} [/tex]
a)
[tex] \sqrt[5]{7} [/tex]
b)
[tex] \frac{1}{ \sqrt[7]{7} } [/tex]
Answer:

Explanation:​

Answers

Answers:

a)  [tex]7^{1/5}[/tex]b)  [tex]7^{-1/7}[/tex]

Each answer has 7 as the base and a fraction as an exponent.

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

Explanation:

One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.

For part a), we have x = 7, m = 1 and n = 5 to get

[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]

-----------------

Part b) is the same idea

We would find that

[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]

Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1

[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]

You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.

In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.

Work out the surface area of this solid prism.
8m
x 5m
3m
4m
The diagram is not drawn to scale.
unit: m2

Answers

Answer:108

Step-by-step explanation:

Solve the equation p + 5| = 3.
o p = 8 or p = 2
p= -8 or p = -2
p= 2 or p = -8
O p=-2 or p = 8

Answers

It’s P the 2nd one. The reason why it’s that because u add 5+3= 8

hellllllllpppppppppppp!!

Answers

Answer:

120 and can I have brainliest

Step-by-step explanation:

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