Answer:
Step-by-step explanation:
A square root can't be simplified any further if there are no 2 identical factors remaining and every term under the radical symbol is a prime number
Answer: (2x + 32)(2x + 25) = 1600
Step-by-step explanation:
The former length of the rectangular plot = 32 feets
The former width of the rectangular plot =25 feets
The former area of the rectangular plot is former length of the rectangular plot × former width of the rectangular plot
= 32×25 = 800 feet^2
If the area is doubled, the new area would 800 × 2 = 1600 feet^2
If an equal width of x feets was added to each side of the plot,
The new length would be (32 + 2x) feets.
The new width would be (25 + 2x) feets. The 2x is due to the fact that there are 2 lengths and 2 widths
The new area would be
(2x + 32)(2x + 25) = 1600
Answer:
the sum of John's score and Kamira's score
Step-by-step explanation:
-5 + 7 = 2
The theorem that justifies why triangles ABC and DEF are congruent is: HL.
<h3>What is the Hypotenuse-Leg Congruence Theorem (HL)?</h3>
The hypotenuse-leg congruence theorem (HL) states that if two triangles that are right triangles have a pair of congruent hypotenuse and a pair of corresponding congruent legs, then both right triangles are proven to be congruent to each other. This means both right triangles are have the same shape and size.
Given that:
angle ABC = angle DEF = 90° (congruent right angles, this means both triangles are right triangles)
AC = FD (a pair of congruent hypotenuse)
AB = DE (a pair of congruent legs)
Thus, we can conclude that since triangle ABC and triangle DEF have a pair of congruent hypotenuses and a pair of congruent legs, therefore, the two right triangles, triangle ABC and triangle DEF are congruent to each other by the HL congruent theorem.
Thus, the theorem that justifies why both triangles are congruent is: HL.
Learn more about the HL congruence theorem on:
brainly.com/question/2102943
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Answer:
A.
Step-by-step explanation:
Hope this helps :)
