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3 years ago

In triangle ABC, if b is the longest side, what can you conclude about angle A?

Mathematics

2 answers:

Yuri [45]3 years ago

5 0

Answer:

It is less than 90degrees

Step-by-step explanation:

malfutka [58]3 years ago

5 0

It is less than 90 degrees

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Determine whether the measures 2, √8, and √12 can be the measures of the sides of a triangle. If so, classify the triangle as ac

gtnhenbr [62]

Answer:

Step-by-step explanation:

First check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = $\sqrt{12}$ and ( $\sqrt{12}$ )² = 12

2² + ( $\sqrt{8}$ )² = 4 + 8 = 12

Thus the triangle is right → C

7 0

3 years ago

Read 2 more answers

XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for thi

Rashid [163]

Answer:

The coordinates are $Y'(x,y) = (3, 8)$ and $Z'(x,y) = (10, 13)$ .

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

$X'(x,y) = X(x,y) + T(x,y)$ (1)

Where $T(x,y)$ is the vector translation.

If we know that $X(x,y) = (2,3)$ and $X'(x,y) = (4,7)$ , then the vector translation is:

$T(x,y) = X'(x,y)-X(x,y)$

$T(x,y) = (4,7) - (2,3)$

$T(x,y) = (2, 4)$

Then, we determine the coordinates for Y' and Z':

$Y'(x,y) = Y(x,y) + T(x,y)$

$Y'(x,y) = (1,4) + (2,4)$

$Y'(x,y) = (3, 8)$

$Z'(x,y) = Z(x,y) + T(x,y)$

$Z'(x,y) =(8,9) + (2,4)$

$Z'(x,y) = (10, 13)$

The coordinates are $Y'(x,y) = (3, 8)$ and $Z'(x,y) = (10, 13)$ .

7 0

3 years ago

A SALESMAN BOUGHT A COMPUTER FROM A MANUFACTURER. THE SALESMAN THEN SOLD THE COMPUTER FOR $15,600 MAKING A LOSS OF 25%. WHAT AMO

NNADVOKAT [17]

Answer:

20800 dollars

Step-by-step explanation:

15600*(1/0.75)

=20800

the original price was 20800 dollars.

weirdly expensive computer though

4 0

1 year ago

For the inverse variation equation xy = k, what is the constant of variation, k, when x = 7 and y = 3?

sleet_krkn [62]

Answer:

k = 21

Step-by-step explanation:

$xy = k\\\\Plugging\: x = 7\: and\: y = 3,\: we\; find:\\7\times 3 = k\\21 = k\\\huge\red{\boxed{k = 21}}\\$

6 0

3 years ago

Here's a question ~

Gre4nikov [31]

Answer:

(0, 5√3/2 + 2)

Step-by-step explanation:

Given is the absolute value function.

Observations:

It has a slope of ±√3 and the y- intercept of 2.
There is no horizontal shift, so the the y-axis is the line of symmetry.
The y-axis is also an angle bisector of the two lines.
The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

arctan (1/√3) = 30°

The distance AY is:

AY = AP₂ cos 30° = 5*√3/2

The distance from the x-axis to the point Y is:

5√3/2 + 2, added the y- intercept of the graphed lines

The coordinates of the point Y:

(0, 5√3/2 + 2)

3 0

3 years ago