The attached figure reprsents a prove that a rectangle has congruent diagonals.
<u>Given:</u> rectangle ABCD
<u>Prove:</u> BD ≅ AC
Answer:
4
Step-by-step explanation:
5
Answer:
No, it is not a right triangle.
Step-by-step explanation:
The simplest way to determine is testing out the numbers with Pythagorian theorem.
If it complies with the theorem, it is a right triangle.
let's assume c = 28, b = 21, and a = 20
the longest side is the hypotenuse so side c (28 in) will be the hypotenuse.
According to the Pythagorian theorem, the square of the length of hypotenuse must equal to the sum of squares of other two sides.
check:
c^2 = 28^2 = 784
a^2 + b^2 = 21^2 + 20^2 = 841
because c^2 is not equal to a^2 + b^2, the triangle is not a right triangle.
<u>4h + 7 = 4h - 3</u>
Subtract 4h from each side: 7 = -3
There is no value of ' h ' that can make this a true statement,
so the equation has no solution.
6 large + 5 small = 127 kg ------------ (1)
2 large + 3 small = 51kg ------------ (2)
<u>(2) x 3 :</u>
6 large + 9 small = 153 ---------------- (2a)
<u>(2a) - (1) :</u>
4 small = 26
1 small = 6.5kg ------------ (sub into equation 1)
6 large + 5 small = 127 kg
6 large + 5(6.5) = 127
6 large + 32.5 = 127
6 large = 127 - 32.5
6 large = 94.5
1 large = 15.75 kg
Answer: The small box weighs 6.5kg and the big box weighs 15.75 kg
