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IgorLugansk [536]
3 years ago
11

Give all possible names for each angle shown.Calculation Tip: In angle ABC, B is the vertex.

Mathematics
1 answer:
dybincka [34]3 years ago
3 0

Answer:

Acute angle

Step-by-step explanation:

An angle of less than 90 degrees is acute

Exactly 90 degrees is a right angle

More than 90 degrees is an obtuse angle

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2 1/4 = 1 2/7÷x<br><br> what is x?
Roman55 [17]

Answer:

x=4/7

Step-by-step explanation:

Change mixed fractions to improper fractions

2 1/4 = 9/4

1 2/7 =9/7

Therefore, we have

9/4=9/7÷x

9/7÷x is 9/7×1/x=9/7x

Then, we have

9/4=9/7x

Cross multipy

9×7x=9×4

63x=36

Make x the subject of the formula, we have

x=36/63

x=4/7

8 0
3 years ago
A line that includes the points (7,u) and (6,6) has a slope of -8. What is the value of u?
Zielflug [23.3K]

Answer:

(6-u)/(6-7)= (6-u)/-1= 8

6 - u = -8

-u = -14

u = 14

8 0
4 years ago
Read 2 more answers
Find the area of a triangle bounded by the y-axis, the line f(x)=9−2/3x, and the line perpendicular to f(x) that passes through
MaRussiya [10]

Answer:

The area of the triangle is 18.70 sq.units.

Step-by-step explanation:

It is provided that a triangle is bounded by the y-axis, the line f(x)=y=9-\frac{2}{3}x.

The slope of the line is: m_{1}=-\frac{2}{3}

A perpendicular line passes through the origin to the line f (x).

The slope of this perpendicular line is:m_{2}=-\frac{1}{m_{1}}=\frac{3}{2}

The equation of perpendicular line passing through origin is:

y=\frac{3}{2}x

Compute the intersecting point between the lines as follows:

y=9-\frac{2}{3}x\\\\\frac{3}{2}x=9-\frac{2}{3}x\\\\\frac{3}{2}x+\frac{2}{3}x=9\\\\\frac{13}{6}x=9\\\\x=\frac{54}{13}

The value of <em>y</em> is:

y=\frac{3}{2}x=\frac{3}{2}\times\frac{54}{13}=\frac{81}{13}

The intersecting point is (\frac{54}{13},\ \frac{81}{13}).

The <em>y</em>-intercept of the line f (x) is, 9, i.e. the point is (0, 9).

So, the triangle is  bounded by the points:

(0, 0), (0, 9) and (\frac{54}{13},\ \frac{81}{13})

Consider the diagram attached.

Compute the area of the triangle as follows:

\text{Area}=\frac{1}{2}\times 9\times \frac{54}{13}=18.69231\approx 18.70

Thus, the area of the triangle is 18.70 sq.units.

7 0
4 years ago
(2x - 1)<br> (4x + 28)°
Sati [7]

Answer: 8x^2° + 52x° + 27°

Using the knowledge i know i think this is the right answer

Have a great day :)

4 0
3 years ago
The figure shows two parallel lines cut by a transversal. Which angle pairs are alternate interior angles? Choose all that apply
Lera25 [3.4K]

Answer:

B. Angle D and Angle E

C. Angle C and Angle F

Step-by-step explanation:

Alternative Interior angles are not adjacent and are at opposite sides of the transversal.

5 0
3 years ago
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