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VikaD [51]
3 years ago
6

∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.

Mathematics
2 answers:
Alexxandr [17]3 years ago
8 0

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

Masja [62]3 years ago
6 0

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

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Make x the subject 3x-a=2x-5
VikaD [51]

Answer:

x = a - 5

Step-by-step explanation:

3x - a = 2x - 5 ( subtract 2x from both sides )

x - a = = 5 ( add a to both sides )

x = a - 5

3 0
3 years ago
In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
baherus [9]

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

d= 9.434 units

Hence the distance between the points is 9.434 units

8 0
3 years ago
What is a sales tax?
prohojiy [21]

Sales tax is an additional amount of money you pay based on a percentage of the selling price of goods and services that are purchased. For example, if you purchase a new television for $400 and live in an area where the sales tax is 7%, you would pay $28 in sales tax. Your total bill would be $428.88

5 0
3 years ago
Read 2 more answers
What is the perpendicular slope intercept form?​
In-s [12.5K]

Answer:

y = -1/2x + 2.5

Step-by-step explanation:

- slope of a perpendicular line is the negative reciprocal of the original slope (2 in this case) so y = -1/2 x + c

- to find c we substitute the values from the given point into the equation

(0) = -1/2*(5) + c

- rearrange and calculate and you'll get c = 5/2 or 2.5

- replace the value of c and now you've got y = -1/2x + 2.5

6 0
3 years ago
Lydia is making spaghetti sauce at a community luncheon. Each batch requires 1⁄2 teaspoon of salt, 1⁄3 teaspoon of oregano, 1⁄4
Troyanec [42]

Salt is used in the largest quantity in Lydia's recipe.

<em><u>Explanation</u></em>

Required spices are......

Salt = \frac{1}{2} teaspoon , Oregano = \frac{1}{3} teaspoon, Crushed thyme = \frac{1}{4} teaspoon and Black peeper = \frac{1}{8} teaspoon

For finding the largest quantity, first we need to make the denominators of each fraction as equal and then identify the largest numerator.  

The denominators are 2, 3, 4 and 8 and their LCM(Least common multiple) will be 24. So.....

\frac{1}{2}= \frac{1*12}{2*12}=\frac{12}{24} \\ \\ \frac{1}{3}=\frac{1*8}{3*8}=\frac{8}{24}\\ \\ \frac{1}{4}=\frac{1*6}{4*6}=\frac{6}{24}\\ \\ \frac{1}{8}=\frac{1*3}{8*3}=\frac{3}{24}

As the largest numerator is 12 here, so the value of \frac{1}{2} is largest among all the fractions.

Thus, <u>Salt</u> is used in the largest quantity in Lydia's recipe.

5 0
3 years ago
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