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4 years ago

What all does the ASA postulate involve

Mathematics

1 answer:

ZanzabumX [31]4 years ago

7 0

Answer:

ASA means Angle-Side-Angle

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Step-by-step explanation:

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James takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A hamster we

Lesechka [4]

Answer:

The slope of the line between these two points is 1.50.

Step-by-step explanation:

The general form of the regression line is:

$y=mx+c$

Here,

y = dependent variable

x = independent variable

m = slope

c = intercept.

The formula to compute slope using two-point method is:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case the dependent variable is the cost per week to feed and independent variable is the weight of the hamster.

The two points are:

(x₁, y₁) = (3, 3.50)

(x₂, y₂) = (4.8, 6.20)

Compute the slope as follows:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{6.20-3.50}{4.8-3}$

$=\frac{2.7}{1.8}$

$=1.50$

Thus, the slope of the line between these two points is 1.50.

6 0

3 years ago

Jesse takes his dog and cat for their annual vet visit. Jesse's dog weighs 23 pounds. The vet tells him his cats weight is 5/8 a

Anton [14]

Dog weigh: 23
cat weigh: 5/8 dogs weigh
so..
23x5/8 = 115/8

8 0

3 years ago

James answered 14 items correctly on a 16-item quiz. what percent did he answer correctly?

Troyanec [42]

So,

I like to simplify a fraction first. This is what I do when I'm in a store trying to find the unit price.

$\frac{14}{16}$

Factor.
$\frac{2*7}{2*2*2*2}$

Cross out ones.
$\frac{7}{2*2*2}$

Multiply it out.
$\frac{7}{8}$

In my head, I remember that one-eighth is equal to 0.125.

So seven-eighths is equal to 0.125 times 7.
0.125 * 7 = 0.875

Convert to percent form.
0.875 --> 87.5%

James answered 87.5% of his quiz correctly.

I actually have the decimal equivalents for eighths in my head when I'm shopping. So once I get seven-eighths, I immediately know how much that is. I can also subtract 0.125 from 1.000 to get seven-eighths.

3 0

4 years ago

Read 2 more answers

How does graphing linear inequalities differ from graphing linear equations?

Ivan

Explanation:

When the inequality symbol is replaced by an equal sign, the resulting linear equation is the boundary of the solution space of the inequality. Whether that boundary is included in the solution region or not depends on the inequality symbol.

The boundary line is included if the symbol includes the "or equal to" condition (≤ or ≥). An included boundary line is graphed as a solid line.

When the inequality symbol does not include the "or equal to" condition (< or >), the boundary line is not included in the solution space, and it is graphed as a dashed line.

Once the boundary line is graphed, the half-plane that makes up the solution space is shaded. The shaded half-plane will be to the right or above the boundary line if the inequality can be structured to be of one of these forms:

x > ... or x ≥ ... ⇒ shading is to the right of the boundary
y > ... or y ≥ ... ⇒ shading is above the boundary

Otherwise, the shaded solution space will be below or to the left of the boundary line.

_____

Just as a system of linear equations may have no solution, so that may be the case for inequalities. If the boundary lines are parallel and the solution spaces do not overlap, then there is no solution.

_____

The attached graph shows an example of graphed inequalities. The solutions for this system are in the doubly-shaded area to the left of the point where the lines intersect. We have purposely shown both kinds of inequalities (one "or equal to" and one not) with shading both above and below the boundary lines.