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vivado [14]
3 years ago
7

I need help please and thank you.

Mathematics
1 answer:
kogti [31]3 years ago
6 0

Step-by-step explanation:

\frac{2x}{5}  +  \frac{1}{3}  =  \frac{7x - 2}{15}

\frac{6x + 5}{15}  =  \frac{7x - 2}{15}

6x + 5 = 7x - 2

6x - 7x =  - 2 - 5

- x =  - 7

x = 7

option (4)

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Point A is the midpoint of side XZ and point B is the
Katyanochek1 [597]

Answer:

Option (2)

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Point A is the midpoint of side XZ and point B is the  midpoint of side YZ.

Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.

What is AX ?

2 units

4 units

6 units

8 units

From the figure attached,

XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.

By the theorem of midpoints,

AB = \frac{1}{2}\text{(XY)}

Since AB = (x + 1) and XY = (5x - 7)

(x + 1) = \frac{1}{2}(5x-7)

2x + 2 = 5x - 7

5x - 2x = 2 + 7

3x = 9

x = 3

Therefore, side AB = 3 + 1 = 4 units

Side XY = (5x - 7)

             = 15 - 7

             = 8 units

Side XA = 2(x - 1)

              = 4 units

Therefore, Option (2) will be the answer.

6 0
3 years ago
What graph shows the system of linear equations for which (-3/2,0) is a solution
Tamiku [17]

Answer:

See description.

Step-by-step explanation:

Any graph where the two lines intersect at (-3/2, 0) will be the correct graph.

Here is an attached example.

8 0
3 years ago
The mode and median of the data set below have the same value. What is the missing number?
Maru [420]
10 ! (To find the median add the two middle numbers 7,13 = 20 divide 20 by two and you get 10 as your median. Mode means the most common number which means the mode is also 10)
5 0
3 years ago
PLEASE HELP! I need help on this
Alja [10]
99+2x=180
x=40.5
99>
40.5
6 0
3 years ago
For a quadratic function ƒ(x)=ax2+bx+c, ƒ(−1)<1, ƒ(1)>−1, and ƒ(3)<−4. What could be the sign of a?
denis23 [38]

Answer:

"a" must be negative

Step-by-step explanation:

The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.

The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.

Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.

4 0
3 years ago
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