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igor_vitrenko [27]
3 years ago
12

In the dig ram below line l is parallel to line m. Which angles are congruent to angle 1

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer:

3, 8, 6

Step-by-step explanation:

<u>The angles that are congruent to angle 1 are:  3, 8, 6</u>

<u />

Answer:  Congruent angles are 3, 8, 6

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52 /? = 20/100<br><br>what is the missing denominator??? ​
mezya [45]

Answer:

1140

Step-by-step explanation:

52/x=20/100

52(20)=100(x)

52(20) = 1040

100(x) = 100

1040+100= 1140

8 0
2 years ago
Frank is playing a game where he loses 1.5 points every time a critter eats a carrot. After two rounds of hte game, he lost 13.5
Tpy6a [65]

Answer:9

Step-by-step explanation: 13.5/1.5=9

8 0
3 years ago
A jewelry company prints a hidden logo watermark. The watermark is a chord that is 0.8 cm from the center of a circular ring tha
Sergeeva-Olga [200]

Answer:

length of chord is 6cm

Step-by-step explanation:

Here, we are to calculate the length of the chord.

It should be understood that the chord has a length of 0.8cm from the center of the circle of radius 3cm, thereby forming two right-angled triangles with the radius 3cm being the hypotenuse of each and 0.8cm being the height of each.

Now, the chord is divided into 2 by this height dropping from the center of the circle. To calculate the first half, we use Pythagoras’ theorem with 3cm being hypotenuse and 0.8cm being the other side.

mathematically;

3^2 = 0.8^2 + l^2

9 = 0.64 + l^2

l^2 = 9-0.64

l^2 = 8.36

l = √(8.36)

l = 2.89 approximately

The length of the chord would be 2l = 2 * 2.89 = 5.78 cm which is 6cm to the nearest length

5 0
3 years ago
Aiden's mom calculated that in the previous month, their family had used 40% of the monthly income for
Natali5045456 [20]

Answer:

The money left after gasoline expenses was <u>$622.50</u>.

Step-by-step explanation:

Given:

Last month, family had used 40% of the monthly income for  gasoline, and 63% of that gasoline was consumed by the family's SUV.

The family's SUV used $261.45 worth of  gasoline previous month.

Now, to find the money left of the family monthly income after gasoline expenses.

Let the total money spend on gasoline be g.

As, given:

The family's SUV used $261.45 worth of  gasoline, which was 63% of the gasoline that was consumed.

According to question:

63\%\ of\ g=$261.45.\\\\

\frac{63}{100} \times g=261.45\\\\0.63\times g=261.45

<em>Dividing both sides 0.63 we get:</em>

g=\$415.

<u><em>The total money spend on gasoline = $415.</em></u>

Now, 40% of the monthly income is used for gasoline.

Let the total monthly income be x.

So, to get the monthly income we put an equation:

40\%\ of\ x=\$415\\\\\frac{40}{100}\times x=415\\\\0.40\times x=415

<em>Dividing both sides by 0.40 we get:</em>

x=\$1037.50.

<u><em>The total monthly income = $1037.50.</em></u>

Now, to get the money left after gasoline expenses we subtract the total money spend on gasoline from the total monthly income:

\$1037.50-\$415\\\\=\$622.50.

Therefore, the money left after gasoline expenses was $622.50.

6 0
3 years ago
Area as a sum:<br> Area as a Product:<br><br><br> I need the are as a sum Nd a product
PSYCHO15rus [73]

Given:

The area model.

To find:

The area as a sum and area as a product.

Solution:

The four terms of the area model are 2x^2,10x, 3x, 15.

The area as a sum is the sum of all the terms of given area model.

Area as a sum = 2x^2+10x+3x+15

                        = 2x^2+13x+15

The area as a product is the factor form of sum of all the terms of given area model.

Area as a product = 2x^2+10x+3x+15

                        = 2x(x+5)+3(x+5)

                        = (x+5)(2x+3)

Therefore, the area as a sum is 2x^2+13x+15 and the area as a product is (x+5)(2x+3).

8 0
3 years ago
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