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Setler [38]
2 years ago
14

MVUT =175, mVUJ=17x-3, and mJUT=17x+8. Find x

Mathematics
1 answer:
kotykmax [81]2 years ago
5 0
The diagram of the three angles is shown below with point U as the point where all three lines meet.

Angles property: Angles around a point add up to 360°

We set up an equation

175+17x-3+17x+8=360
180+34x=360
34x=360-180
34x=180
x= \frac{180}{34}= \frac{90}{17}
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A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18pi meters. Wh
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Answer

Circumference(C) of a circle is given by:

C = 2\pi r

where r is the radius and value of \pi = 3.14

As per the given statement:

A building engineer analyzes a concrete column with a circular cross section.

The circumference of the column is 18 \pi meters.

then;

18 \pi= 2\pi r

Divide both sides by 2 \pi we have;

9 = r

or

r = 9 meters

We have to find the area of the cross section of the column

Area of a circle is given by:

A = \pi r^2

then;

A = \pi \cdot 9^2 = 81 \pi meter square.

therefore, the area A of the cross section of the column is 81 \pi meter square.

3 0
2 years ago
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Which point shows the location of 5 – 2i on the complex plane below? On a coordinate plane, points A, B, C, and D are shown. Poi
Romashka-Z-Leto [24]

Answer:

The Point C shows the location of 5-2i in the complex plane: 5 points to the right of the origin and 2 points down from the origin.

Step-by-step explanation:

We have the complex number 5-2i and we have to show the location of the point that represents that number in the complex plane

In the complex plane the real numbers are located in the horizontal axis, increasing to the right. The positives real numbers are at the right of the origin and the negatives to the left.

The complex numbers are located in the vertical axis, with the positives over the origin and the negatives below the origin.

This complex number 5-2i is the sum of a real part (5) and a imaginary part (-2i), so the point will be 5 units rigth on the horizontal axis (for the real part) and 2 units down in the vertical axis (for the imaginary part).

8 0
2 years ago
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Which descriptions from the list below accurately describe the relationship between QRS and TUV
Nata [24]
Answer is A. similar

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7 times as much as the sum of 1/3 and 4/5
Vlada [557]
7( \frac{1}{3} +  \frac{4}{5} )

=7( \frac{1(5)}{3(5)} +  \frac{4(3)}{5(3)} )

=7( \frac{5}{15} +  \frac{12}{15} )

=7( \frac{17}{15})

=\frac{7}{1} ( \frac{17}{15})

=\frac{119}{15}

= 7\frac{14}{15} ≈ 7.93
4 0
2 years ago
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What do the symbols of mirrors and glass represent in this
luda_lava [24]

Question:

Read the excerpt from Julius Caesar, act 1, scene 2.

CASSIUS: ‘Tis just; And it is very much lamented, Brutus, That you have no such mirrors as will turn Your hidden worthiness into your eye, That you might see your shadow. I have heard 5 Where many of the best respect in Rome– Except immortal Caesar‐speaking of Brutus, And groaning underneath this age’s yoke, Have wished that noble Brutus had his eyes.

BRUTUS: Into what dangers would you lead me, Cassius, 10 That you would have me seek into myself For that which is not in me?  

CASSIUS: Therefore, good Brutus, be prepared to hear. And since you know you cannot see yourself So well as by reflection, I, your glass, 15 Will modestly discover to yourself That of yourself which you yet know not of.

Answer:

The correct choice is D)

Explanation:

Cassius speaks of Brutus as one who is unable to see or know his own value and presumes to help him therewith. He does this by pointing out that many of the well respected people in Rome wish that he were in Caesars shoes as King.

Cheers!

7 0
2 years ago
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