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2 years ago

The measure of angle

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

8 0

Answer:
120 degrees

Explanation:
Opposite angles (angles that are on opposite sides of an intersection) are equal to each other. Because angle 2 and 120 degrees are opposite angles, angle 2 is equal to 120 degrees.

I hope this helped if it did, a brainliest would be much appreciated:)

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Information about five planets is shown in the table below.

Karo-lina-s [1.5K]

Answer:

(a)Jupiter

(b)24.4 km

Step-by-step explanation:

Part A

The planet with the greatest ma.ss is Jupiter.

It has a ma.ss of $1.898 X 10^{27}$ kg$

Part B

The diameter of Mercury = 4.88 X 10

Radius = Diameter/2

Therefore:

Radius of Mercury

$=\dfrac{4.88 X 10}{2}\\ =2.44 X 10\\=24.4$ km$

Part C

$M$a.ss of Saturn = 5.68 X 10^{26}\\$Mass of Jupiter = 1.898 X 10^{27}\\$Difference in their ma.ss =(1.898 X 10^{27})-(5.68 X 10^{26})\\=1.33 \times 10^{27}$ kg$

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2 years ago

A right pyramid with a square base has a base edge length of 12 meters and slant height of 6StartRoot 2 EndRoot meters. The apot

Jet001 [13]

Answer:

Volume of the right pyramid = 288 m²

Step-by-step explanation:

Volume of the pyramid = $\frac{1}{3}\times {\text{Area of the rectangular base}\times height(h)$

From the ΔAOB,

By Pythagoras theorem,

AB² = AO² + OB²

(6√2)² = AO² + (6)²

72 = AO² + 36

AO = √(36) = 6 m

Since base of the pyramid is a square so area of the base = (Length × Width) = (side)²

Now volume of the pyramid = $\frac{1}{3}[(Length)(width)]\times height$

= $\frac{1}{3}(12\times 12)\times 6$

= 288 m²

Therefore, volume of the right pyramid is 288 m².

6 0

2 years ago

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what is the typical distance a moped can be driven on a single tank of gas? a statistical question/ explain your reasoning

Svet_ta [14]

Answer:

Step-by-step explanation:

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2 years ago

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Shelly bought a house five years ago for $150,000 and obtained an 80% loan. Now the home is worth $140,000 and her loan balance

LiRa [457]

Answer:

The current equity is $32,000

Step-by-step explanation:

Here, we are to calculate the current equity of the House

Value of house initially is $150,000

loan borrowed is 80% of this

= 80/100 * 150,000 = $120,000

Now the house value is 140,000 and the loan amount is reduced to 12,000

The outstanding loan amount to pay would be 120,000-12,000 = 108,000

The current equity is thus = Assets - liability = 140,000-108,000 = $32,000

5 0

2 years ago

Apples: $(2x) per pound

Ludmilka [50]

Answer:

Shopper spend $3 on Apples, $4 on Grapes and $3.5 on Oranges

Step-by-step explanation:

Cost of one pound of Apple = $2x

Cost of one pound of Grapes = $(6x-5)

Cost of one pound of Oranges = $(x+2)

A shopper purchases one pound each of apples, grapes, and oranges and spends $10.50.

It can be written as: $2x+6x-5+x+2=10.50$

We need to find how much the shopper spend on each fruit.

First we need to find value of x by solving equation

$2x+6x-5+x+2=10.50$

Solving:

$2x+6x+x+2-5=10.50\\9x-3=10.50\\9x=10.50+3\\9x=13.5\\x=\frac{13.5}{9}\\x=1.5$

The value of x is: x=1.5

Now finding cost of one pound each fruit by putting x=1.5

Cost of one pound of Apple = $2x = 2(1.5) = $3

Cost of one pound of Grapes = $(6x-5) = (6(1.5)-5)= $4

Cost of one pound of Oranges = $(x+2)=(1.5+2)=$3.5

So,

Cost of one pound of Apple = $3

Cost of one pound of Grapes = $4

Cost of one pound of Oranges = $3.5

So, shopper spend $3 on apples, $4 on Grapes and $3.5 on Oranges

3 0

2 years ago