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yawa3891 [41]
2 years ago
9

What is the measure of

Mathematics
1 answer:
Nastasia [14]2 years ago
3 0

Answer:

70

Step-by-step explanation:

The sum of the angles of a triangle should always add up to 180 degrees.

In this problem, they have given us 2 angle measures of the triangle - 40 degrees and 70 degrees. To figure out the third angle, we simply need to figure out how many more degrees we need for reaching the 180 degrees.

I'm just going to do some simple math:

40 + 70 = 110 (sum of the 2 angles)

180 - 110 = 70 (subtracting 180 by the sum of the 2 angles)

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The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent. Write a pa
rodikova [14]

Answer:

Step-by-step explanation:

Given the expressions :

The list price of the item is 80 percent of the original price. The price of the item has been reduced by 80 percent.

Write a pair of linear equations using variables of your choice to prove that these two statements are not equivalent.

Let the original price = x

Expression 1 : The list price of the item is 80 percent of the original price

List price = 80% of x

List price = 0.8x

Expression 2: The price of the item has been reduced by 80 percent

Price = x - 80% of x

Price = x - 0.8x

Price = 0.2x

Multiply by percentages is different from an Incremental or decrement in percentage. The first expression above signifies a direct multiplication by the stated percentage while the second signifies a decrease in price based on a certain percentage of the original price.

Wording of percentages are so important for clarity in other to understand if the statement signifies a direct application of the percentage prescribed or a change in quantity, amount or size relative to the base unit.

3 0
3 years ago
Find the slope of the line that goes through the given points (8,5) (6,7)
vazorg [7]
To find the slope of a line that goes through given points with known coordinates, you divide the subtraction of the y of the second point minus the y of the first point, by the subtraction of the x of the second point minus the x of the first point:
m = (yB-yA) / (xB-xA)

Let A(8,5) and B(6,7).
With yB = 7; yA = 5; xB = 6; xA = 8
m = (7-5) / (6-8)
m = 2/-2
m = -1

So the slope of the line that goes through the given points (8,5) and (6,7) is m = -1.

I've added a pic of the line with both points under the answer.

Hope this Helps! :)

4 0
2 years ago
REASONING An even integer can be represented by the expression $2n$ , where $n$ is any integer. Find three consecutive even inte
san4es73 [151]

Answer:

First Integer = 16

Second Integer = 18

Third integer = 20

Step-by-step explanation:

An even integer is represented by 2n

Where n is any integer

Let :

First Integer = 2n - 2

Second Integer = 2n

Third integer = 2n + 2

The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2

= 2n + 2n + 2n - 2 + 2 = 54

= 6n = 54

n = 54/6

n = 9

First Integer = 2n - 2 = 2(9) - 2

= 16

Second Integer = 2n = 2(9)

= 18

Third integer = 2n + 2 = 2(9) + 2

= 20

8 0
3 years ago
How to solve 3+5 (c+3)=-17
BlackZzzverrR [31]
3 + 5(c + 3) = -17

First, subtract 3 from both sides. / Your problem should look like: 5(c + 3) = -17 - 3
Second, simplify -17 - 3 to get -20. / Your problem should look like: 5(c + 3) = -20
Third, divide both sides by 5. / Your problem should look like: c + 3 =  -\frac{20}{5}
Fourth, simplify \frac{20}{5} to 4. / Your problem should look like: c + 3 = -4
Fifth, subtract 3 from both sides. / Your problem should look like: c = -4 - 3
Sixth, simplify -4 - 3 to get -7. / Your problem should look like: c = -7

Answer: c = -7

4 0
2 years ago
Read 2 more answers
If A and B are 7 x 2 matrices, and C is a 4x7
Nata [24]

Answer:

  A, B, D, F

Step-by-step explanation:

Matrix operations require that the matrix dimensions make sense for the operation being performed.

Matrix multiplication forms the dot product of a row in the left matrix and a column in the right matrix. That can only happen if those vectors have the same dimension. That is the number of columns in the left matrix must equal the number of rows in the right matrix.

Matrix addition or subtraction operates on corresponding terms, so the matrices must have the same dimension.

The transpose operation interchanges rows and columns, so reverses the dimension numbers. It is a defined operation for any size matrix.

<h3>Defined operations</h3>

A. CA ⇒ (4×7) × (7×2) . . . . defined

B. B -A ⇒ (7×2) -(7×2) . . . . defined

C. B -C ⇒ (7×2) -(4×7) . . . undefined

D. AB' ⇒ (7×2) × (2×7) . . . . defined

E. AC ⇒ (7×2) × (4×7) . . . undefined

F. C' ⇒ (7×4) . . . . defined

5 0
1 year ago
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