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Norma-Jean [14]
3 years ago
10

State what additional information is required in order to know that the triangles are congruent by AAS. part 2

Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0

Answer:

Step-by-step explanation:

The trick is to find the third angle

180 - A - <BCA = <CBA

180 - X - <BCX = <CBX

Everything else is OK

<CBA = <CBX                  Equals equated to an equal express = an equal expression.

Now by a little slight of hand, you get the two triangles to be equal by ASA, which always works.

Cheating you say? There is no such thing as cheating if it correct and it works.

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Which of the quadratic functions has the widest graph? y = 0.3x2 y = –4x2
Alenkinab [10]
A vertical stretching is the stretching of the graph away from the x-axis.
A vertical compression is the squeezing of the graph towards the x-axis.
A compression is a stretch by a factor less than 1.

For the parent function y = f(x), the vertical stretching or compression of the function is a f(x). 

If | a | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of a units.
If | a | > 1, then the graph is stretched vertically by a factor of a units.

For values of a that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.

Thus, the equation with the widest graph is 0.3x^2.
4 0
3 years ago
Read 2 more answers
a line intercects the points (-22,-14) and (-18,-12). what is the slope intercept equation for this line?
Nadya [2.5K]

Answer:

y = \frac{1}{2} x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)

m = \frac{-12+14}{-18+22}  = \frac{2}{4} = \frac{1}{2}

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (- 22, - 14), then

- 14 = - 11 + c ⇒ c = - 14 + 11 = - 3

y = \frac{1}{2} x - 3 ← in slope- intercept form



8 0
3 years ago
Hi guys can you help me can you do this calculation with the working pls<br>$36 - $17.85 = ​
d1i1m1o1n [39]

Answer:

$18.15

Step-by-step explanation:

Here, we want to find the difference between the two values

what we do here simply is to subtract the second from the first

Mathematically we have this as;

36-17.85 = $18.15

3 0
2 years ago
Last month you spend 30 dollars this month you spend 140 percent of what you spend last month set up a proportion to model this
Alona [7]

Answer:

5:7

Step-by-step explanation:

140% of 30 is 42 so when i got that, i set up my proportion as 30:42 and then simplified

3 0
3 years ago
Find cot x if sin x cot x csc x = square root of two
Brums [2.3K]
\text{Given: } sin(x) cot(x) cosec(x) = \sqrt{2}
\text{Find: } cot(x)

\text{Important identity: } \boxed{cosec(x) = \frac{1}{sin(x)}}

sin(x) cot(x) cosec(x) = sin(x) cot(x) \frac{1}{sin(x)} = \sqrt{2}
\therefore cot(x) = \sqrt{2}
5 0
3 years ago
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