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never [62]
3 years ago
10

complete the paragraph proof given: <1 and <2 are supplementary and <2 and <3 are supplementary Prove: <1 is cong

ruent to <3
Mathematics
1 answer:
Mice21 [21]3 years ago
3 0
<1 and <2 are supplementary; <2 and <3 are supplementary this is a given.

<1 and <3 are supplementary; Substitution Property
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1/4 x 1/4 - 1/4 ÷ 1/4 ÷ 1/4 ÷ 1/4 cuanto es pls explicado?
iogann1982 [59]

Follow these rules:

Multiply and divide before adding and subtracting.


(1/4)(1/4) = 1/16, so now we have 1/16 - 1/4 ÷ 1/4 ÷ 1/4 ÷ 1/4


1/4 ÷ 1/4 = 1, so now we have 1/16 - 1 ÷ 1/4 ÷ 1/4


1 ÷ 1/4 = 4, so now we have 1/16 - 4 ÷ 1/4


4 ÷ 1/4 = 16, so now we have 1/16 - 16

1 - 256

and this simplifies to -15 15/16, or ------------

16

8 0
3 years ago
A local culinary market sells ground sumac for $1.25 per ounce and ground thyme for $1.50 per ounce. You want to make a 25-oz se
almond37 [142]
Let
x-------> ounces of <span>ground sumac
y-------> ounces of </span><span>ground thyme

we know that
x+y=25------> x=25-y------> equation 1
1.25x+1.5y=1.35*25-----> 1.25x+1.5y=33.75-----> equation 2

substitute equation 1 in equation 2
1.25*[25-y]+1.5y=33.75------> 31.25-1.25y+1.5y=33.75
0.25y=2.5
y=10
x=25-y-----> x=25-10-----> x=15

the answer is
15 </span>ounces of ground sumac
10 ounces of ground thyme
5 0
3 years ago
The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster ha
Alona [7]

Answer:

17 inches.

Step-by-step explanation:

If the area of a rectangle is the product of its length and width, then;

Area of a rectangle = Length × Width

Given that the width of the poster is greater than 10 inches and is prime, this means and W>10

Area of the rectangle = 204in²

On substituting the values in the formula;

A = LW

204 = LW

Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.

Let's test each values of the prime width that will give a length that is a whole number.

If W = 11

204 = 11×L

L = 204/11

L = 18.54

Since the length didn't give us a whole number, this means our width is not 11.

If W = 13

204 = L × 13

L = 204/13

L = 15.69

Also, we can see that the length is not also a whole number for the value of 13 as the prime width.

If W = 17

204 = L × 17

L = 204/17

L = 12

It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.

7 0
3 years ago
What is the percent of 12000 to 150
soldier1979 [14.2K]
Look at the attachment

6 0
3 years ago
Marina correctly simplified the expression StartFraction negative 4 a Superscript negative 2 Baseline b Superscript 4 Baseline O
Sav [38]

Answer:

7

Step-by-step explanation:

We know that  x^a / x^b = x^ (a-b)

b^4 / b^ -3 = b^(4 - -3) = b^ (4+3) = b^7

The exponent for b is 7

6 0
3 years ago
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