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3 years ago

Find the measure of 7

Mathematics

1 answer:

fredd [130]3 years ago

7 0

Answer:

126 degree

Step-by-step explanation:

use alternate angles and linear pair

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The difference of two integers is thirty. the larger integer is two more than five times the smaller integer. Find the integers

Mnenie [13.5K]

X=2+5y
x-y=30

basically, all you're doing here is solving a system of equations. use the second equation to find out what x or y means. i'm going to solve it for x.

this is the new equation : x=30+y

now i plug this equation into the first one.

30+y=2+5y

30=2+5y-y
30=2+4y
28=4y
y=7

now that you know what y is, take that second equation we did in the beginning and plug in y.

x-7=30

solve for x

x=37

the two integers are 37 and 7.

5 0

3 years ago

Explain how to find the pre-tax cost of an item if you know the final cost and the sales tax rate.

JulijaS [17]

Answer:

Calculating total cost.Multiply the cost of the item or service by the sales tax in order to find out the total cost.The equation looks like this:Item or service cost x sales tax (in decimal form) = total sales tax.Add the total sales tax to the item or service cost to get your total cost.

Step-by-step explanation:

#Princesses Rule

6 0

2 years ago

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g

givi [52]

Given :

An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 50 g of an alloy containing 12% copper with 78 g of an alloy containing 92% copper.

To Find :

How many grams of copper are in the resulting mixture what percentage of the resulting mixture is copper.

Solution :

Mass of copper in 50 gm alloy = $50\times 0.12 = 6\ gram$ .

Mass of copper in 78 gm alloy = $78\times 0.98 = 76.44\ gram$ .

Total mass of copper, ( 6 + 76.44 ) gm = 82.44 gram.

Percentage of copper in resulting mixture :

$\%=\dfrac{82.44}{50+78}\\\\\%=64.4\ \%$

Hence, this is the required solution.

8 0

3 years ago

Graph f(x)=2^x+1 and g(x)=−x+4 on the same coordinate plane.

12345 [234]

Given f(x)= 2^x +1

g(x)= -x +4

We have to find the value of x which satisfy the condetion : f(x)= g(x)

Solution : let us place expression given for f(x) and g(x) equal to each other

This gives us : 2^x + 1 = -x+ 4

Let us bring all x terms on left side only

we add x on both sides this makes : 2^x +1 +x = -x+ 4 +x

on the right side -x and +x becomes a "0"

we get : 2^x + 1 + x = 4

* let us nopw bring all the numeric terms on left side only

subtract 1 from both sides : 2^x + 1 + x - 1 = 4- 1

on the left side +1 and -1 becomes a "0"

on the rigth side 4-1 becomes a "3"

equation look like : 2^x + x = 3

We can see the right side is an odd number

on the left side there is sum of two terms one of them is 2^x which is an even number always .

we know that sum of an even number with an even number result out an even number

but we want a result as an odd number (3)

this suggest that x should be an odd number .

Also the sum of 2^x and x is 3 so 2^x should be smaller than 3

the smallest value ( x being an integer )

2^x can have is : 2^1= 2 which is for x=1

let us check plugging x= 1 . 2^1 + 1 = 3 which is TRUE

Hence answer is x= 1

8 0

3 years ago

Read 2 more answers

Evaluate rs + 14s when r = 6 and s = 8

Ivahew [28]

Answer:

160

Step-by-step explanation:

Plug in 6 for r, and 8 for s in the expression:

(r)(s) + (14)(s) = (6)(8) + (14)(8)

Remember to follow PEMDAS. First, multiply, then add:

(6 * 8) + (14 * 8)

48 + 112

112 + 48 = 160

160 is your answer.

3 0

3 years ago