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3 years ago

An ______ triangle is also an acute and equilateral triangle.

Mathematics

2 answers:

Alla [95]3 years ago

4 0

Answer:

Right

Step-by-step explanation:

A right triangle has acute angles and is an equilateral triangle.

Colt1911 [192]3 years ago

4 0

Equiangular Triangle

The angles A,B and C always remain equal in measure. The sides of an equiangular triangle are all the same length (congruent), and so an equiangular triangle is really the same thing as an equilateral triangle.

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2m/(2m 3)-(2m)/(2m-3)=1how many extraneous solutions does the equation have?

Slav-nsk [51]

$\frac{2m}{2m+3} - \frac{2m}{2m-3} =1 \\ \frac{2m(2m-3)-2m(2m+3)}{4m^2-9} =1 \\ \frac{4m^2-6m-4m^2-6m}{4m^2-9} =1 \\ \frac{-12m}{4m^2-9} =1 \\ -12m=4m^2-9 \\ 4m^2+12m-9=0 \\ m=0.6213 \ or \ m=-3.6213$
For m = 0.6213, $\frac{2(0.6213)}{2(0.6213)+3} - \frac{2(0.6213)}{2(0.6213)-3} \\ \frac{1.2426}{4.2426} - \frac{1.2426}{-1.7574} =0.2929+0.7071=1$
For m = -3.6213, $\frac{2(-3.6213)}{2(-3.6213)+3} - \frac{2(-3.6213)}{2(-3.6213)-3} \\ \frac{-7.2426}{-4.2426} - \frac{-7.2426}{-10.2426} =1.7071-0.7071=1$
Therefore, the equation has no extraneous solution.

4 0

3 years ago

Simplify 9x + 12 –x + 4.

Airida [17]

Answer:

8x+16

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Tickets to a concert cost either $12 or $15. A

olga_2 [115]

Answer:

12x +15y = 4140; x + y = 300
x = 120; y = 180

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

12x +15y = 4140; x +y = 300

Using the second equation to write an expression for x, we have ...

x = 300 -y

Substituting this into the first equation gives ...

12(300 -y) +15y = 4140

3600 +3y = 4140

y = (4140 -3600)/3 = 180

x = 300 -180 = 120

The number of tickets sold is ...

$12 tickets -- 120

$15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

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3 years ago

Liz spent $170 in 5 days on food and groceries. What integer best represents the average amount her checking account changed per

ahrayia [7]

Answer:It is 34:1

brainliest please

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3 years ago

jan has a 12-ounce milkshake.Four ounces in the milkshake are vanilla,and the rest is chocolate.What are two equivalent fraction

bagirrra123 [75]

Answer:

In this item, we are given that out of 12 ounces of ingredients comprising the milkshake, there are 4 ounces vanilla. Expressing this into fraction will give us an answer of 4/12. This fraction can be one of the answers. Since we are asked for two fractions, we can simplify 4/12 such that we get an equivalent fraction that is equal to 2/6. Hence, the answers to this question are 4/12 and 2/6.

Step-by-step explanation:

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3 years ago