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agasfer [191]
3 years ago
8

Paul sketches a right triangle with legs of lengths a and b and a hypotenuse of length h. He writes an equation that relates a,

b, and h, and then solves it for h. Which of the following is the solution
for h that Paul writes?

​

Mathematics
1 answer:
zalisa [80]3 years ago
3 0

Answer:

D.

Step-by-step explanation:

The pythagorean theorem says that a²+b²=h², therefore h = \sqrt{a^{2} +b^{2} }.

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Help? Please?<br> I really suck at geometry
Maslowich

Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations \left \{ {{x=y+10} \atop {4y=x+2}} \right. you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.

If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.

To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.

8 0
3 years ago
Umberto buys a game for $7.89 and some batteries for $5.49. He pays with a $20 bill. Which is the best estimate of change he sho
Anika [276]

The change is the remaining money that is needed to take from the seller so a change of Umberto will be $6.62.

<h3>What is subtraction?</h3>

To subtract in mathematics is to take something away from a group or a number of objects.

The group's total number of items decreases or becomes lower when we subtract from it.

Given that,

Umberto buys a game for $7.89 and some batteries for $5.49.

Total money of buying = 7.89 + 5.49 = $13.38

Now he gives a $20 bill.

Remaining (change) = 20 - 13.38

⇒ $6.62

Hence "The change of Umberto will be $6.62".

For more about subtraction,

brainly.com/question/1927340

#SPJ1

6 0
1 year ago
A first number plus twice a second number is 24. twice the first number plus the second totals 21. find the numbers.
Ulleksa [173]
We do like the following:
Set the first number is a and the second is b.
We have two equations: a+2xb=24, 2xa+b=21
And we have 2xa+4xb=48 or 2xa=48-4xb
So: 48-4xb+b=21 or -3xb=21-48=-27 and we got b=-27:(-3)=9 and a= 6
a=6 and b=9
4 0
3 years ago
The sum of a number and 6 ad a mathematical expression
Gennadij [26K]
X+6=y thats the answer i got
7 0
3 years ago
Solution for 1/3p+8=11
Jobisdone [24]

Answer:

p = 9

Step-by-step explanation:

6 0
3 years ago
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