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barxatty [35]
3 years ago
14

Prove that if a quadrilateral has four equal sides and one right angle, then the quadrilateral is a square

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0
So lets ABCD are the sides of the square and AB=CD, AC=BD and the Angle ABC = 90 so therefore by making a diagonal we can use the SAS or SSS congruency for two triangles, so we can prove two triangles are equal and that is why the shape is square.
You might be interested in
What is 48 square feet in square meters
Marina86 [1]

Answer: 4.45935

Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.

6 0
3 years ago
18s^2+2g-12+15g-9s^2
algol13
Answer:

9s^2 + 17g - 12

Explanation:

(basically combine like terms)

the s^2 are like terms, so that would get you 18s^2 - 9s^2 = 9s^2

then the g’s are like terms,
15g + 2g = 17g

then the -12 is all on its own

if you put it all together:

9s^2 + 17g - 12


4 0
3 years ago
Find the value of x.
OverLord2011 [107]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
A group of workers can plant 5/8 acres in 4/5 days. What is the unit rate in acres per day?
Mila [183]
In order to find the unit rate of acres per day, or in other words, how many acres can they plant in one day, you must divide 5/8, the number of acres planted, by 4/5, the number of days it took to plant. When you divide the two fractions, first set up an expression:
5/8<span>÷4/5

Then, to make things simpler, turn the division expression into a multiplication statement so that you have 5/8*5/4. Then multiply straight across and you get your answer as 25/32. This means that the workers can plant 25/32 acres per day.</span>
3 0
3 years ago
Lucy had math and reading homework tonight. Lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minu
drek231 [11]

Answer:

x=18,y=6,  graph is there for reference.

Step-by-step explanation:

Given,

x is the number of math problem Lucy solved.

y is the number of  pages she read.

She can do each math problem in  5 minutes, therefore she can solve x number of questions into 5 \times x=5x minutes.

She can read each page in 2.5 minutes, therefore she can read y pages in 2.5y minutes.

As per given detail,

5x+2.5y=105 equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

x=3y equation 2.

We need to find x and y intercept of each of the equation to graph them.

For x-intercept put y=0

We will get x=\frac{105}{5} =21

Thus the point is (21,0)

Let us find y-intercept by assuming x=0

we get y=\frac{105}{2.5} =42

Thus the point is (42,0)

Join these two points.

Similarly considering the other equation x=3y

Here x-intercept would be at y=0

We will get x=0

Thus the point is (0,0)

Let us assume on more point, say x=30 , we get y=10

Thus the point is (30,10)

Join these two points.

We will get a point of intersection at (18,6)

Thus x=18 and y=6

8 0
4 years ago
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