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4 years ago

Under what circumstances are two nonright triangles congruent?

1 answer:

soldier1979 [14.2K]4 years ago

3 0

If these are the given choices of the above problem,

a. one side and one angle are equal.
b.three sides are equal 
c.two angles are equal 
d. three angles are equal

Two non-right triangles are congruent when B. THREE SIDES ARE EQUAL.

Two triangles are congruent if:
1) All corresponding sides are equal (SSS)
2) A pair of corresponding sides and the included angle are equal (SAS)
3) A pair of corresponding angles and the included side are equal (ASA)
4) A pair of corresponding angles and a non-included side are equal (AAS)

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Which number line models the solution set of the following problem? One less than twice a number is no less than five. What is t

Nadya [2.5K]

Answer:

Option 1.

The solution set is: {n|n is a real number, n≥3}

Step-by-step explanation:

1. You must read carefully the information given in the problem: "One less than twice a number" indicates that you must write a number $n$ multiplied by 2 and subtract 1 from this term, as following:

$2n-1$

2. "is not less than five" indicates that the result must be equal or greater than 5. Then, you obtain the following expression:

$2n-1\geq5$

3. Now, you can solve for $n$ . Then, you obtain:

$2n-1\geq5\\2n\geq6\\n\geq\frac{6}{2}\\n\geq3$

4. Then, the solution set is: {n|n is a real number, n≥3}.

5. The correct plot on the number line must show a circle on 3 (You must fill in the circle if the sign is $\leq$ or $\geq$ ) with a line from that circle to the right.

5. Therefore, the answer is the first option.

7 0

3 years ago

The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A

jenyasd209 [6]

T^2 = A^3
T^2 = 2^3
T^2 = 8
Time = sq root (8)
Time = 2.8284271247

5 0

3 years ago

Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = $\frac{5}{8}\times x$

Remaining votes = x - $\frac{5}{8}\times x$

= $\frac{8x-5x}{8}\times x$

= $\frac{3}{8}\times x$

Votes for green = $\frac{5}{9}\times (\text{Remaining votes})}$

= $\frac{5}{9}\times \frac{3x}{8}$

= $\frac{5}{24}\times x$

Finally remaining votes = $\frac{3x}{8}-\frac{5x}{24}$

= $\frac{9x-5x}{24}$

= $\frac{4x}{24}$

= $\frac{x}{6}$

Since these votes are for red therefore,

$\frac{x}{6}$ = 48

x = 48×6

= 288

a) Votes for blue are $\frac{5x}{8}$

Therefore, exact number for blue votes = $\frac{5\times 288}{8}$

= 5×36

= 180

b). Votes for green = $\frac{5x}{24}$

= $\frac{5\times 288}{24}$

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = $\frac{7}{10}\times 180$

= 7×18

= 126

Since total votes made = 288

Therefore, half of the votes made = $\frac{288}{2}$

= 144

Now it's clear that number of votes made by girls is less than half of all the votes.

e). 126 girls voted for blue.

5 0

3 years ago

Sam's employer deducts 20% in payroll and state taxes from his base salary before writing his paycheck. Sam's monthly paycheck i

Radda [10]

Part A: $1920 because if you change 20%to .2 then .2*1600= 320 and 320+1600=1920
Part B: $320 because 1600/5=320 that is after taxes, before taxes it is $384 because 1920/5=384 you divided it by 5 because it is 1/5, so you divide it by 5 and then multiply it by 1 because 1/5=y/1600 so find y which is what he out in the savings account

4 0

3 years ago

Original grade 80 New grade 100 Find the percent of increase

MaRussiya [10]

Answer:

25%

Step-by-step explanation:

Percent change = 100 - 80

|80|

x 100 = 20

x 100 = 25

8 0

4 years ago