Find all possible solutions for x such that △ABC is congruent to △DEF.

△ABC: sides length 7, 9, x
△DEF: sides length 7, 10, x − 1
The solution is x =

Answer:

2x +12

Step-by-step explanation:

-4x + 6x -12

Answer:

I think seventeen months

Answer:

there is no multiplication, so just 29+ 19b

Answer: i solved it for you, but all you have to do is add this 19b + 29

Step-by-step explanation:

I really hope this helps!! Have an amazing day!! :)

answer: 711

711.403641819=P

On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. The interest rate on the loan is known as this percentage.

here,

we have

P = 1360;

R = 5.4 ;

T = 12

so, we get,

SI = 1360 X 5.4 X 12 /100

SI =88128/100

= 881.28

Hence, On solving the provided question, we can say that - the value of the simple interest will be $ 881.28.

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Answer:

2 photographs

Step-by-step explanation:

Mark as Brainliest.

Because I am Indian and solving your question from India.

Your family buys two photographs at a comic convention.

The equations are defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let x be the number of autographs and y be the number of photographs. We know that:

x + y = 5 (the total number of autographs and photographs)

20x + 50y = 160 (the total cost of the autographs and photographs)

We are looking for the number of photographs (y) that your family buys.

We can use the first equation to solve for x in terms of y:

x = 5 - y

Then we can substitute this expression for x into the second equation:

20(5 - y) + 50y = 160

100 - 20y + 50y = 160

50y = 60

y = 12/5

y = 2.4

Since the number of photographs has to be a whole number, we can see that your family buys 2 photographs.

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[tex]{x}^{18}={y}^{21}={z}^{28}[/tex]

3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are in??

[tex]{x}^{18}={y}^{21}={z}^{28} [/tex]

[tex]{x}^{18}={y}^{21}[/tex]

By taking LOG on both sides

[tex]log {x}^{18}=log {y}^{21} [/tex]

[tex]18 log x= 21 log y[/tex]

[tex]2 \ times 3 log x= 7 log y[/tex]

[tex] 3 \dfrac{log x}{log y} =\dfrac{7}{2}[/tex]

[tex]\bold{ 3 log_y x =\dfrac{7}{2}}[/tex]

[tex]{x}^{18}={z}^{28} [/tex]

By taking LOG on both sides

[tex]log {x}^{18}=log {z}^{28} [/tex]

[tex]18 log x =28 log z [/tex]

[tex] 9 log x =7 \times 2 log z [/tex]

[tex] 7\dfrac{log z}{log x} = \dfrac{9}{2}[/tex]

[tex]\bold{7 log_x z= \dfrac{9}{2}}[/tex]

[tex]{y}^{21}={z}^{28} [/tex]

By taking LOG on both sides

[tex]log {y}^{21}=log {z}^{28} [/tex]

[tex]21 log y=28 log z [/tex]

[tex] 3 log y = 4 log z [/tex]

[tex]3 \dfrac{ log y}{logz }= 4 [/tex]

[tex]\bold{ 3 log_z y = 4 }[/tex]

3, [tex]3 log_y x [/tex], [tex]3 log_z y [/tex] and [tex]7 log_x z [/tex] are ...in??

[tex]\bold{ 3 log_y x =\dfrac{7}{2}}[/tex]

[tex]\bold{7 log_x z= \dfrac{9}{2}}[/tex]

[tex]\bold{ 3 log_z y = 4 }[/tex]

[tex]3 , \: \dfrac{7}{2 } , \: 4 , \: \dfrac{9}{2}[/tex]

[tex]a_1 = 3 [/tex]

[tex]a_2 = \dfrac{7}{2 } [/tex]

[tex]a_3 = 4 [/tex]

[tex]a_2 = \dfrac{7}{2 } [/tex]

[tex]d \implies a_2 - a_1 = = a_3-a_2 [/tex]

[tex]d \implies 2 a_2 = a_3+a_1 [/tex]

[tex]d \implies 2 \times \dfrac{7}{2}= 7 [/tex]

[tex]d \implies 7 = 7 [/tex]

Answer:

Step-by-step explanation:

So it’s 201

Answer:

A

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

You want to add 2x on both sides to get to this equation -3x - 2 = 4 with the -2 being negative due to having a positive and a negative sign turning into a negative number.  Add 2 on both sides to get -3x = 6.  Divide -3 on both sides to get your final answer or as your x value which is -2.

Answer:

Step-by-step explanation:

-5x - 2 = -2x + 4

-3x - 2 = 4

-3x = 6

x = -2

Answer: 64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Ten percent of 64 is the same as;

0.1 * 640

= 64

Answer:

15 : 5 = 3 : 1

Step-by-step explanation:

Answer:

1. First choice, 1/2

2. First choice, 1/2

Step-by-step explanation:

3 odd numbers on a dice, so 3/6 = 1/2

12 numbers, 1- 12, the even numbers are 2, 4, 6, 8, 1-, and 12. 6 out of 12 = 6/12 = 1/2

Step-by-step explanation:

2 + x + 2x = 14

3x + 2 = 14 (combine like terms)

3x = 12 (subtract 2 from both sides)

Hence the answer is 3x = 12. (B)

Answer:

The statement which is not true about the sample is;

The sample of 10 plants was a census of the corn plants

Step-by-step explanation:

The statement out of the given statements which is not true about the sample is "The sample of 10 plants was a census of the corn plants"

The 10 unique number corn which the farmer randomly selects of which he then count the number of ears in the corn and multiply by 100 so as to quickly arrive at an estimate of the total number of ears of corn for the crop, without individually counting the ears on each plant from the 100 plants

A census is a counting and individual enumeration procedure to collect and record characteristic information and details of the all the members that make up a given population

Therefore, the farmer is finding an estimate of the number of ears of in the plants rather than taking a census of the ears of corn on each plants in the population of 100 plants

Answer:

The sample of 10 plants was a census of the corn plants.

Step-by-step explanation:

The person above me is correct. I am taking the test review.

Answer:

He spend $4.27 i guess

Step-by-step explanation:

prove me wrong

Answer:

x= - 3 and y= - 7

Step-by-step explanation:

Answer:

X = -3

Y = -7

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

No solution

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Step-by-step explanation:

first you go by counting by 2s and when your done it says one will ride alone so minus 1 that is 5 so the answer will be 5

Answer:

x = -6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5x - 6 = 4x - 12

Step 2: Solve for x

Answer:

(a) 40 m

(b) 4 seconds

(c) 1 second, 45 m

(d) 1 second

Step-by-step explanation:

The given height as a function of height is

[tex]h= -5t^2+10t+40[/tex]

where t is the time in seconds and h is the height, in meters.

(a) At the starting time, t=0, the arrow is at the platform.

So, putting t=0, to get the height of the platform

[tex]h= -5(0)^2+10(0)+40 = 40[/tex] m

(b) For determining the length of time the arrow is in the air, first t determining the value of t for which h=0, we have

[tex]-5t^2+10t+40=0 \\\\-t^2+2t+8=0 \\\\-t^2+4t-2t+8=0 \\\\-t(t-4)-2(t-4)=0 \\\\(-t-2)(t-4)=0 \\\\[/tex]

t=-2, t=4  

Mathematically, the value of t for which the arrow is in the air is the time from -2 to 4 seconds.

But the arrow was at the platform at time t=0. So, neglecting the negative time, the time for which the arrow was in the air is the time from 0 to 4 seconds, i.e 4 seconds.

(c) Mathematically, the value of t for which the arrow is in the air is the time from t=-2 to t=4 seconds. So, in the middle of time, i.e at t=1 second the arrow will reach the maximum height.

Putting t=1 to get the maximum height, we have

[tex]h=-5(1)^2+10(1)+40[/tex]

h=-5+10+40

h=45 m

Therefore, the maximum height is 45 m at t=1 second.

(d) Referinf option (c), at the time, t=1 second, the arrow has a height of exactly 45m above the ground

Step-by-step explanation:

Q1

A. x must be 0

B. x can be any number. it because every number times by 0 will be 0

Q2

(2⁸ . 5-⁵ . 19⁰)-² . (5-²/2³)⁴ . 2²⁸ =

2-¹⁶ . 5¹⁰ . 1 . 5-⁸ . 2-¹² . 2²⁸ =

2-¹⁶-¹²+²⁸ . 5¹⁰-⁸ =

2⁰ + 5² = 25

Q3

4.55 x 10¹³ - 1.78 x 10¹² =

45.5 x 10¹² - 1.78 x 10¹² =

43.72 x 10¹²

4,37 x 10¹³ kg

Q4

A. 3.9 x 10³³ ergs/s x 2.45 x 10⁵ s = 9.555 x 10³⁸

or in scientific we can write 9.56 x 10³⁸ ergs

B. 7.4 x 10-³ mm. Because the blood cell is a tiny part in.our body. it's impossible to have a cell blood of 7.4 x 10³ mm or 7.4 meters in diameter

Answer:

Step-by-step explanation:

1) Your number = x

2) Multiply it by 3 = 3x

3) Add 4 = 3x + 4

4) Square the result (quantity square) = (3x + 4)²

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

50

Step-by-step explanation:

Let a = number of balls in bag A.

Let b = number of balls in bag B.

a = 1.2b

a - 5 = b + 5

1.2b - 5 = b + 5

0.2b = 10

b = 50

Answer: 50

Answer: the answer is 50

Step-by-step explanation:

Answer:

The radius of the silo is 5.788 feet.

Step-by-step explanation:

Since the silo has the shape of a cylinder, then;

Volume of the silo = Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h

Where: r is the radius of the silo, and h is the height.

Given that: volume = 2106 cubic feet, and height = 20 feet.

Then,

2106 = [tex]\frac{22}{7}[/tex] x [tex]r^{2}[/tex] x 20

2106 = [tex]\frac{440}{7}[/tex][tex]r^{2}[/tex]

2106 x 7 = 440[tex]r^{2}[/tex]

14742 = 440[tex]r^{2}[/tex]

[tex]r^{2}[/tex] = [tex]\frac{14742}{440}[/tex]

[tex]r^{2}[/tex] = 33.5045

⇒ r = [tex]\sqrt{33.5045}[/tex]

     = 5.78831

r = 5.788 feet

The radius of the silo is 5.788 feet.

Answer:

true

Step-by-step explanation:

sec^4A-2tan^2Asec^2A+tan^4A=1

(sec^2A-tan^2A)^2=1

1^2=1

which is true