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adoni [48]
3 years ago
13

Use the figure to find the measure of angle 2.

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

∠ 2 = 70°

Step-by-step explanation:

110° and ∠ 1 are corresponding angles and congruent, thus

∠ 1 = 110°

∠ 1 and ∠ 2 are adjacent angles and are supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 110° = 70°

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What is the least common denominator of<br> 1/3 and 5/9
crimeas [40]

Answer:

<h2>LCD = 9</h2>

Equivalent Fractions with the LCD

1/3 = 3/9

5/9 = 5/9

Solution:

Rewriting input as fractions if necessary:

1/3, 5/9

For the denominators (3, 9) the least common multiple (LCM) is 9.

LCM(3, 9)

Therefore, the least common denominator (LCD) is 9.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/3 = 1/3 × 3/3 = 3/9

5/9 = 5/9 × 1/1 = 5/9

4 0
3 years ago
Which of the following inequalities matches the graph?
Alik [6]
A vertical line has an equation of the form x = k, where k is the x-coordinate of all points on the line.
You have a vertical line. It passes through the point (-3, 0), so for this line, k = -3.
The vertical line has equation x = -3.
The line is dashed, not solid, so you have either < or >, but not <= or >=.
Also, notice the shading is to the left of x = -3, so all values of x are less than -3.
The inequality is

x < -3
8 0
3 years ago
Veata wants to know what percent of students at her school are left-hand dominant. Veata recalls that when students were randoml
Romashka-Z-Leto [24]
Randomly assigned group. the art class isn't random and only consists of a select type of people--it is not a representative sample; maybe more left handed people enjoy art than do right handed people! therefore, even though the randomly assigned group is smaller, it is the better estimate.
7 0
2 years ago
Sheila has x 20 dollar bills, and Tamsin has y 10 dollar bills. Sheila has a total of $50 more than Tamsin, but Tamsin has 1 mor
natka813 [3]

Answer:

Sheila have 6 bills

Step-by-step explanation:

Suppose Sheila has x '20' dollar bills, so the total cost of her bill = $20x

Suppose Tamsin has y '10' dollar bills, so the total cost of her bill = $10y

<h3>Equation 1</h3>

<em>Sheila has a total of $50 more than Tamsin</em>

<h2><em>10y + 50 = 20x</em></h2><h2 /><h3>Equation 2</h3>

<em>Tamsin has 1 more bill than Sheila.</em>

<h2>y = x + 1 </h2><h2 />

<em>Now solve them by putting value of x in equation </em>

10( x + 1 ) + 50 = 20x

10x + 10 + 50 = 20x

60 = 20x - 10x

10x = 60

x = 60/10

x = 6

and

y = 7

<em> </em>

6 0
3 years ago
Find the amount of interest on $35,000 at 9.72% compounded monthly for 32 months
zhannawk [14.2K]

9514 1404 393

Answer:

  $10,308.92 interest earned

Step-by-step explanation:

The account balance is given by ...

  A = P(1 +r/12)^n

where principal P earns interest at annual rate r compounded monthly for n months. In this case, the balance would be ...

  A = $35,000(1 +0.0972/12)^32 = $45,308.92

The interest earned is the excess of the balance over the original investment:

  interest = $45,308.92 -35,000 = $10,308.92

4 0
3 years ago
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