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blagie [28]
3 years ago
8

Can you help me solve this problem? Also please show your work.

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

x>=-1, B

Step-by-step explanation:

1. distribute 2 to get 7+x <= 2x+6+2

2. simplify to get 7+x <= 2x+8

3. subtract 7 on both sides to get x<=2x+1

4. subtract x on both sides to get 0 <= x+1

5. subtract 1 on both sides to get x >= -1

B fits this description

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Which of the following statements are true?
olchik [2.2K]

Answer:

II, III, and IV

Step-by-step explanation:

Define:

Similar polygons:

  • Corresponding angles are equal
  • Corresponding sides are in a constant proportion

Congruent polygons:

  • Corresponding angles are equal
  • Corresponding sides are equal

Let's break each statement down one-by-one:

<u>I. Corresponding sides of similar figures are the same.</u>

False - Corresponding sides of similar figures are in a constant proportion, but not necessarily the same. <em>Congruent</em> figures have equal corresponding sides, but similar figures only have their corresponding sides in a constant proportion.

<u>II. Corresponding sides of congruent figures are the same.</u>

True - By definition, corresponding figures have equal sides and angles. Therefore, this statement is true.

<u>III. Corresponding angles of congruent figures are the same.</u>

True - By definition, corresponding figures have equal sides and angles. Therefore, this statement is true.

<u> </u>

<u>IV. Corresponding angles of similar figures are the same.</u>

True - While corresponding sides of similar figures may not be the same, their angles are. This is what gives them the similar characteristic. All similar polygons have equal angles, therefore this statement is true.

7 0
3 years ago
Solve the equation for all real solutions.<br><br> X^2 + 11z +9 = 5z<br><br> Someone help plz ):
pantera1 [17]

Answer:

z = -3

Step-by-step explanation:

Given

z^2 +11z+9 = 5z --- the correct equation

Required

Solve

Equate to 0

z^2 +11z-5z+9 = 0

z^2 +6z+9 = 0

Expand

z^2 +3z+3z+9 = 0

Factorize

z(z +3)+3(z+3) = 0

Factor out z + 3

(z +3)(z+3) = 0

Split

z + 3 =0 --- twice

z = -3

5 0
2 years ago
The equation of line L is 3x − 4y = 24. The line intersects the X − axis at A and the
Tcecarenko [31]

Answer:

The slope of the line = m = 3/4

Step-by-step explanation:

We know that the slope-intercept of line equation is  

y=mx+b

Here:

  • m is the slope
  • b is the y-intercept

Given the equation of line L

3x - 4y = 24

Writing the equation in the slope-intercept form

3x - 4y = 24

Add -3x to both sides

3x\:-\:4y+\left(-3x\right)=\:24+\left(-3x\right)

-4y=\:-3x+24

Divide both sides by -4

-\frac{4y}{4}=\:\frac{\left-3x+24\right}{-4}

y=\frac{3}{4}x-6

Comparing the equation with y=mx+b

Therefore, the slope of the line = m = 3/4

7 0
2 years ago
Question 1 Multiple Choice Worth 5 po
MAVERICK [17]
I’m pretty sure it’s 21 feet because the basic triangle base times hight formula is base times hight cut in half. So in this case the base is 7 and hight of 6, if you multiply the base times hight you will get 42 and then divide that by 2 and the answer is 21! Hopefully that was clear enough:)
6 0
3 years ago
Positive common factor (other than 1) of 4 and 6
Artemon [7]

Answer:

2 is the answer

8 0
2 years ago
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