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3 years ago

PLEASE HELP

1 answer:

7 0

Are these converses true? The answer is yes. Each of these converses can be a way to show that a quadrilateral is a parallelogram. However, the Consecutive Angles Converse can be a bit tricky, considering you would have to show that each angle is supplementary to its neighbor

(∠A

and

∠B, ∠B

and

∠C, ∠C

and

∠D

, and

∠A

and

∠D)

. We will not use this converse.

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A set of N = 20 exam scores has a mean of m = 50. The instructor discovered that an error was made grading one exam, so 20 point

tatuchka [14]

Answer:

The new mean for the exam scores is 51

Step-by-step explanation:

the mean can be calculated using the formula

mean of scores = $\frac{Sum total of scores}{Number of students}$

before the 20 points was added, the mean of the score was = 50.

Inserting this into the formula, we have:

50 = $\frac{Sum total}{20 students}$

from this, we can compute the sum total of the scores as

sum total = 50 × 20 = 1000

when the extra 20 marks is added, the sum of the entire scores will be changed to 1000 + 20 = 1020.

Hence the new mean will be computed as (New Sum total of scores / Number of students)

= $\frac{1020}{20}$ = 51.

∴ The new mean of the scores is = 51

8 0

3 years ago

At the beginning of the day the stock market goes up 30 1/2 points. At the end of the day, the stock market goes down 100 3/4 po

Akimi4 [234]

Well, is namely their difference, so, let's first convert the mixed fractions to "improper", and subtract.

$\bf \stackrel{mixed}{30\frac{1}{2}}\implies \cfrac{30\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{61}{2}}
\\\\\\
\stackrel{mixed}{100\frac{3}{4}}\implies \cfrac{100\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{403}{4}}\\\\
-------------------------------\\\\
\cfrac{61}{2}-\cfrac{403}{4}\impliedby \textit{so our \underline{LCD is 4}}\implies \cfrac{(2\cdot 61)~-~(1\cdot 403)}{4}
\\\\\\
\cfrac{122-403}{4}\implies \cfrac{-281}{4}\implies -70\frac{1}{4}$

5 0

2 years ago

What are the values of x and y given that ABCD ≅ EFGH?

Margarita [4]

Answer:

x = 7

y = 8

Step-by-step explanation:

Since the shapes are similar then <B = <F and <A = <E

<B = <F so

10x + 65 = 135 subtract 65 from both sides

10x = 70 divide both sides by 10

x = 7

<A = <E so

4y - 4 = 28 add 4 to both sides

4y = 32 divide both sides by 4

y = 8

7 0

2 years ago

An artist wants to create a painting on a semicircle canvas with a radius of 13 feet. He wants to surround the canvas with a pie

kodGreya [7K]

Answer: I forgot i remember the answer in my head I forgot..

Step-by-step explanation:

5 0

2 years ago

Please help asap 25 points

Dafna11 [192]

Answer: (c) y<=-x+4

The area is shaded UNDER the boundary line, hence "<"

The boundary is plotted as solid line, hence "="

7 0

3 years ago