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3 years ago

Help please I’m stuck

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

3 0

Answer:

10.5

Step-by-step explanation:

ΔXYZ is similar to ΔABC. So the corresponding sides are proportional:

XY / AB = XZ / AC = YZ / BC

We want to find length AB, so we can either use the first proportion:

7 / k = 3 / 4.5

Or we can use the second proportion:

7 / k = 6 / 9

Either way, we'll get the same answer. I'll use the second proportion. Cross multiplying:

6k = 63

Dividing:

k = 10.5

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Well, seeing the information above, he used 5/8 of paint to paint the fence and table top. If he only had 1/8 left of the paint, he used 2/8 on the chair.

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4 years ago

Which shows the most reasonable way to estimate 3 and StartFraction 4 over 7 EndFraction (Negative 2 and StartFraction 1 over 12

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Answer:

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Step-by-step explanation:

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2 years ago

if trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A’lie

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Answer:

Answer: (second option) (-4,1)

Step-by-step explanation:

Transformations of Points and Shapes

The image shows a trapezoid ABCD where point A has coordinates (-4,1).

The following transformations are performed:

Reflection over the y-axis: If a point (x,y) is reflected over the y-axis, it becomes (-x,y). Thus point A becomes A'=(4,1)

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3 years ago

Which point is in the solution set of the given system of inequalities 3x+y>-3,x+2y<4

Dima020 [189]

Step 1. Solve both inequalities for $y$ :
$3x+y\ \textgreater \ -3$
$y\ \textgreater \ -3x-3$

$x+2y\ \textless \ 4$
$2y\ \textless \ -x+4$
$y\ \textless \ - \frac{1}{2} x+2$

Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines $-3x-3$ and $- \frac{1}{2} x+2$ :

$y=-3x-3$ (1)
$y=- \frac{1}{2} x+2$ (2)

Replace (1) in (2):
$-3x-3=- \frac{1}{2} x+2$
Solve for $x$ :
$\frac{5}{2} x=-5$
$x=-2$ (3)

Replace (3) in (1):
$y=-3x-3$
$y=-3(-2)-3$
$y=6-3$
$y=3$

We can conclude that the point (-2,3) is in the solution of the system if inequalities; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.

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3 years ago

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