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3 years ago

How do you find measure a and c

Mathematics

2 answers:

astra-53 [7]3 years ago

5 0

You can use the measure of 112 on the similar shape to find b, as they are same side exterior angles. From there, you can find both a and c, because a/b and b/c are supplementary angles.

a = 68 degrees

c = 68 degrees

Paladinen [302]3 years ago

5 0

So you know one angle, which is 112. The angle to the left of 112 can be found by calculating 180 - 112, because together they create a straight angle, which is always 180 degrees. 112 plus 68 equals 180, so we know the side to the left of 112 is 68 degrees.

The given angle is equal to angle b because they're corresponding angles. We now know that angle b is 112 degrees, and angle c is 68 degrees because it's the same as the other angle.

Angle a is also 68 degrees, because it can also combine with angle b to make a 180 degree angle just like angle c can.

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What is the Quotient of 1 and 2/3 divided by 2 and 3/5

Nostrana [21]

Answer:

25/39

Step-by-step explanation:

For division of mixed numbers, it often works well to first convert them to improper fractions. Then the division proceeds in the usual way: "invert and multiply", or "dot, swap."

$1\dfrac{2}{3}\div2\dfrac{3}{5}=\dfrac{5}{3}\div\dfrac{13}{5}=\dfrac{5}{3}\cdot\dfrac{5}{13}\\\\=\dfrac{5\cdot5}{3\cdot13}=\boxed{\dfrac{25}{39}}$

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Additional comment

Your graphing calculator can do this, too.

7 0

2 years ago

How would i solvd this problem as sn improper fraction 2 1/8

zmey [24]

17/8..........................................

7 0

3 years ago

Read 2 more answers

A stack of bricks is 3 1/2 feet high.

ololo11 [35]

Divide 42 inches by the total amount of inches in one brick
why you are dividing by 42 inches is because 3 1/2 ft is equal to 42 inches

4 0

3 years ago

Thirteen more than three times a number is 25.

Sladkaya [172]

Answer:

x = 4

Step-by-step explanation:

Equation: 3x + 13 = 25

Step 1: Subtract 13 from both sides.

3x + 13 = 25

- 13 - 13

3x = 12

Step 2: Divide both sides by 3.

3x = 12

3 = 3

x = 4

7 0

3 years ago

Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca

timurjin [86]

Answer: For California: μ = 33.1; σ² = 1120.50; Range = 32;

For Iowa: μ = 24.5; σ² = 32.73; Range = 19

Step-by-step explanation:

Mean is the average of a population or a sample. It is defined as

μ = ∑x / n, where

x is each number of the set;

n is the total individuals in the sample.

Calculating the Mean for sample of taste of pizza in California:

μ₁ = $\frac{34+39+40+46+33+31+34+14+15+45}{10}$ = 33.1

Calculating the Mean for the sample in Iowa:

μ₂ = $\frac{28+25+35+16+25+29+24+26+17+20}{10}$ = 24.5

Variance measures how far the number in the set is from the mean. Its formula is

σ² = (∑x-μ)² / n -1

which means to find the variance, you have to get the difference between the number and the mean, square the result, add all of them and then divide by (n-1) individuals.

The Variance for the sample in California is

σ² = $\frac{(34 - 33.1)^{2}+(39-33.1)^{2}+(40-33.1)^{2}+(46-33.1)^{2}+(33-33.1)^{2}+(34-33.1)^{2}+(14-33.1)^{2}+(15-33.1)^{2}+(45-33.1)^{2}}{9}$ σ² = 120.50

The Variance for the sample in Iowa is

σ² = 32.73

Range is the difference between the highest and the lowest number of the set: range = highest - lowest

For the sample in California, the Range is

range = 46 - 14 = 32

For the sample in Iowa:

range = 35 - 16 = 19

For California:

Mean = 33.1;
Variance = 120.50;
Range = 32;

For Iowa:

Mean = 24.5;
Variance = 32.73;
Range = 19;

6 0

3 years ago