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oee [108]
2 years ago
15

Solve for x. . . . . . .

Mathematics
1 answer:
otez555 [7]2 years ago
3 0

Answer:

X=7

Step-by-step explanation:

x+16=4x-5

x-4x=-5-16

-3x=-21

x=-21/-3

x=7

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Please help me. its attached
liq [111]

Answer

5. ΔABC ≅ ΔDEF is true.

6. ΔABC ≅ ΔGHI is not true.


Step by step explanation

5. Find the lengths of the triangle ABC.

BC = 3

Use the distance formula to find the length of AB and AC

Distance formula = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

Coordinates of A = (1, 4) and B = (2, 2).

Now plug in these values in to the distance formula.

AB = \sqrt{(2 -1)^2 + (2 - 4)^2} \\

AB = \sqrt{(1)^1 + (-2)^2}

AB = √1 + 4

AB = √5

Now let's find the length of AC.

A = (1, 4), C = (5, 2)

Use the distance formula and the length of AC.

AC = \sqrt{(5 - 1)^2 +(2 - 4)^2}

AC = \sqrt{(4)^2 + (-2)^2}

AC = √(16 + 4)

AC = √20

Now let's find the length of GI

G = (6, 6) and I = (8, 1)

Use the distance formula.

GI = √(2)^2 + (-5)^2

GI = √(4 + 25)

GI = √29.

The length of EF = 3, DE = √5, EF = √20

Now let's compare the two triangles ABC and DEF.

The sides of the triangle ABC is equal to the sides of the triangle DEF

By SSS property,  ΔABC ≅ ΔDEF.


6) The side length of GI = √29 which is not equal to the side length of AC = √20.

Therefore, the ΔABC ≅ ΔGHI is not true.

Hope this will help you.

Thank you.


5 0
3 years ago
Solve by factoring. Check your answers. x²=-x+6
Ymorist [56]

The factoring of the expression x²=-x+6 is (x-2)(x+3)

By ordering the values, we get:

x² + x - 6 = 0

To solve this exercise, we have to follow the rules of factoring:

1. Looking for the a and b number that state the following equations:

  • a + b = 1
  • a * b = - 6

Analyzing that (a*b) is a negative number, it means that (a) and (b) have different signs, and due to the results of (a+b) is positive the higher number has to be the positive one.  

The number could be:

a = -2

b = 3

Confirming:

a + b = -2 + 3 = 1

a * b = (-2) * 3 = - 6

2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:

(x-2)(x+3)

<h3>What is factoring?</h3>

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

Learn more about factoring at brainly.com/question/24734894

#SPJ4

6 0
1 year ago
Play the four digit 3,5,7,and 9 into the boxes pure in the position that would give the greatest results in the true numbers are
Bad White [126]
<h2>Answer:</h2>

- 9 3 x 7 5

<h2>Step-by-step explanation:</h2>

To get the combination that would yield the greatest result if the true number are multiplied,

<em>i. multiply each given combination</em>

73 x 95 = 6935

79 x 53 = 4187

97 x 35 = 3395

93 x 75 = 6975

<em>ii. get the largest result from the results calculated above in (i)</em>

The greatest of the results is 6975, therefore the digits should be placed like so;

<u> 9 </u>  <u> 3 </u>

<u> 7 </u>  <u> 5 </u>

<u />

<u />

8 0
2 years ago
17.
eduard

Answer:  C. c = 23d + 11

I'm gonna go with c = 23d + 11

Step-by-step explanation:  c = 23d + 11

kikdddd

17 answers

2K people helped

its c hope that helps text me back if you want to know why it is.

...................................................................................................................................................

c is your answer

hope this helps

4 0
3 years ago
Determine the intercepts of the line. 7x-5=4y-67x−5=4y−67, x, minus, 5, equals, 4, y, minus, 6 xxx-intercept: \Big((left parenth
sesenic [268]

Given:

The equation of line is

7x-5=4y-6

To find:

The x and y-intercept of the given line.

Solution:

We have,

7x-5=4y-6

Putting x=0, we get

7(0)-5=4y-6

Add 6 on both sides.

0-5+6=4y

1=4y

Divide both sides by 4.

\dfrac{1}{4}=y

So, the y-intercept is \left(0,\dfrac{1}{4}\right).

Putting y=0 in given equation, we get

7x-5=4(0)-6

Add 5 on both sides.

7x=-6+5

7x=-1

Divide both sides by 7.

x=\dfrac{-1}{7}

So, the x-intercept is \left(-\dfrac{1}{7},0\right).

4 0
3 years ago
Read 2 more answers
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