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4 years ago

The hypotenuse of a 45 -45 -90 triangle measures 128 cm what is the length of one leg of the triangle

Mathematics

2 answers:

Liula [17]4 years ago

6 0

Answer:

64 sqre root 2

Step-by-step explanation:

erma4kov [3.2K]4 years ago

4 0

This is an isosceles triangle. The definition of an isosceles triangle is a triangle with at least two congruent sides and angles. If 2 angles on a triangle are congruent (in this case 45 and 45 are two congruent angles) then triangle is isosceles. Therefore the two sides of triangle will be congruent. We know that the triangle is a right triangle because it has a hypotenuse. If a triangle has a hypotenuse then it's a right triangle. We can apply the Pythagorean theorem: a^2 + b^2 = c^2
A and B are the legs and C is the hypotenuse.
We can plug C in the equation:
a^2 + b^2 = 128
What do we know about the legs of the isosceles triangle? They are congruent so a and b have to be equal. From here it's simply guess and check. Will 8 work?
8^2 + 8^2 = 128
64 + 64 = 128
128=128
Yes the value 8 works so the length of two legs of the triangle is 8.

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Dennis_Churaev [7]

Let's say x = full price tickets

Let's say y = student tickets

We can write two equations:

From "585 tickets were sold" we can make the equation:

x + y = 585

And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:

2.50x + 1.75y = 1,217.25

So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.

x + y = 585

x + y - y = 585 - y

x = 585 - y

Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25

Distribute your 2.50

1462.5 - 2.50y + 1.75y = 1217.25

Add the y's: 1462.5 - 0.75y = 1217.25

Subtract 1462.5 from both sides:

1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5

-0.75y = -245.25

Divide both sides by -0.75:

y = -245.25/-0.75

y = 327

There were 327 student tickets :)

3 0

4 years ago

Which number is the additive inverse of -4 -442 O -4 O 45 V

frozen [14]

Answer:

it's the last one i mean 4&1/4

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3 years ago

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How would the expression x^3 - 64 be rewritten using difference of cubes? A. (x + 4)(x^2 - 4x + 16) B. (x-4)(x^2 + 4x + 16) C. (

slavikrds [6]

Answer:

Step-by-step explanation:

4 is an evident zero of the equation x^3 - 64.

x^3 - 64 can only be factorized with (x-4) and not with (x+4)

because x - 4 = 0 <==> x = 4 and 4^3 -64 = 0

Developing B) would be:

x^3 + 4x^3 + 16x - 4x^2 - 16x - 64 = 5x^3 - 4x^2 -64

So it doesn't match so it's D)

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2 years ago

Someone help me out on these 2 geometry questions, ASAP!!! “Complete the proofs”

vodomira [7]

Question 11

1) $\overline{BA} \cong \overline{FA}$ , $\angle 1 \cong \angle 2$ (given)

2) $\angle A \cong \angle A$ (reflexive property)

3) $\triangle AEB \cong \triangle ACF$ (ASA)

4) $\overline{AC} \cong \overline{AE}$ (CPCTC)

Question 12

1) Isosceles $\triangle ACD$ with $\overline{AC} \cong \overline{AD}$ , $\overline{BC} \cong \overline{ED}$ (given)

2) $\angle ACD \cong \angle ADC$ (angles opposite congruent sides in a triangle are congruent)

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6) $\overline{AB} \cong \overline{AE}$ (CPCTC)

7) $\triangle ABE$ is an isosceles triangle (a triangle with two congruent sides is isosceles)

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2 years ago

Pls help me, will give brainliest.

xxMikexx [17]

Answer: i am almost positive its (A)

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Step-by-step explanation:

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3 years ago

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