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3 years ago

Classify the triangle with angles with measures 33, 90, and 57 as acute, right, or obtuse.

2 answers:

6 0

We know that

A right triangle<span> is a triangle in which one angle is a right angle
</span>and
a right angle is equal to 90°

therefore

the answer is
A right triangle

Hitman42 [59]3 years ago

5 0

This triangle is classified as a right triangle because it contains one right angle (90 degrees).

An obtuse triangle is given that classification when one of the angles is greater than 90 degrees.

An acute triangle is any triangle that has all 3 angles less than 90 degrees.

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15 points!

Phantasy [73]

Hi there! You are provided with two points, this is all you need to calculate the line's slope.

The equation for slope is:

$\frac{y2 - y1}{x2 - x1}$

$\frac{10 - 8}{3 - 7} = -\frac{2}{4}$

Slope: -2/4

Point slope form, or y-y1 = m(x - x1). All we have to do is take the x and y coordinates of either point, as well as the slope, and plug them into the equation.

y - 10 = -2/4(x - 3)

Write the equation in slope-intercept form (y=mx+b)

$y - 10 = -2/4(x-3)\\y = -2/4(x-3) + 10\\y = -2/4x + 1.5 + 10\\y = -2/4x + 11.5$

A) -2/4

B) y - 10 = -2/4(x - 3)

C) y = -2/4x + 11.5

8 0

2 years ago

The price of a sweater was reduced from $20 to $12.By what percentage was the price of the sweater reduced?

Katen [24]

The price of the sweater was reduced by 40%

Step-by-step explanation:

Step 1; Cost before reduction was $20. The cost after reduction was 12$. Cost reduced= cost before reduction - cost after reduction

Cost reduced= $20 - $12 = $8

Step 2; We must find how much of the cost was reduced from the initial cost i.e. how much $8 is to $20. To do this we must convert it into a percentage. We divide the $8 with the $20 to get a value. This value must be multiplied with a 100 to be converted into a percentage.

Cost by which sweater was reduced= $\frac{8}{20}$ * 100 = 0.4 * 100 = 40

So the price of the sweater was reduced from $20 to $8 which equates to a reduction in 40%.

3 0

3 years ago

Write 0.70 to 0.14 as a fraction in simplest form

Delvig [45]

$\cfrac{0.70}{0.14}= \cfrac{70}{14}= \cfrac{35}{7}= \cfrac{5}{1}$

3 0

3 years ago

Read 2 more answers

There are three groups of elderly residents at Bayside Residential Home, one with 14 members, the next with 23 members, and the

Arturiano [62]

Answer:

Total Cost - 54c

Step-by-step explanation:

Given is 3 groups of elderly residents at the Bayside Residential Home. One of the home has 14 members, another one with 23 members and the third one with 17 members. Supposing that 'c' represent the cost of trip per resident.

Calculation,

Total of residence

14+23+17

= 54 residents

Hence, since there are 54 residents, total cost 54c.

7 0

3 years ago

(20 POINTS) One side of a trapezoid is extended and the dotted line forms a right angle with the extended line.

RUDIKE [14]

Answer: p = 115* (degrees)

<h3>Explanation:</h3>

What we know:

The trapezoid forms a right triangle
The right triangle has the angles 25*, 90*, and an unknown
The internal angles of a triangle add up to 180*
The unknown value p is a supplementary angle to the right triangle's unknown angle

How to solve:

By finding the degree of the 3rd angle in the right triangle, we can use the rules of supplementary angles to find the value of p.

We will use D to represent the total amount of degrees, which will equal 180*. X will represent an unknown angle. An asterisk represents the degree symbol.

<h3>Process:</h3>

Missing right triangle angle

Set up equation D = 25 + 90 + x

Substitute 180 = 25 + 90 + x

Simplify 180 = 115 + x

Isolate variable -115 -115

Solution 65* = x

Value of p using supplementary angles

Set up equation D = x + p

Substitute 180 = 65 + p

Isolate variable -65 -65

Solution 115* = p

<h3>Answer: p = 115*</h3>

Check:

We can do a check based on estimation. Assuming that the trapezoid and triangle form a box with all 90* corners and that p = 115*, then adding p and all of the other trapezoid angles should result in 360*

Firstly, we need the values of these 4 angles.

The first angle, labeled p, should be 115*. If our equation is untrue, then this value will fail the check.

The second angle will be the one at the bottom-left, which is 90* according to our box statement.

The third angle is the one located at the bottom-right, which is also 90* from the box statement.

The fourth angle is not 90* or 115*, but we can solve its value.

Because we have stated that the right triangle and trapezoid form a box with 4 90* corners, the sum of the fourth angle and the 25* from the right triangle must form a right angle. Let's find the value:

D = 25 + x

90 = 25 + x

(90 = 25 + x) - 25

65* = x

Therefore, the fourth angle has 65*

Now, adding the degrees from all 4 angles should result in a total of 360*. If it does, then our value of p = 115* will pass the check.

D = 90 + 90 + p + x

360 = 90 +90 + 115 + 65

360 = 180 + 180

360 = 360

Therefore, p = 115*

6 0

2 years ago

Read 2 more answers