"Commutative property of addition"<span>
Changing the order of addends does not change the sum.
17 + 12 = 29
12 + 17 = 29
The adition is the same </span>
Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:
a. angle 1 is <u>congruent</u> to angle 2.
b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
c. =
The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.
From the given <u>diagram</u> in the question, it can be deduced that
ΔABC ≅ ΔABE (<em>substitution</em> property of equality)
Given that EA is <u>parallel</u> to BD, then:
i. <2 ≅ <3 (<em>corresponding</em> angle property)
ii. <1 ≅ < 4 (<em>alternate</em> angle property)
Thus, the required options to complete the <em>paragraph proof</em> are:
- Angle 1 is <em>congruent</em> to angle 2.
- Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
- =
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927
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-19/8 or -2 3/8 (mixed form)
Answer:
Dimension a = 18 , b= 36 will give a box with a square end the largest volume
Step-by-step explanation:
Given -
sum of box length and girth (distance around) does not exceed 108 inches.
Let b be the lenth of box and a be the side of square
b + 4a = 108
b = 108 - 4a
Volume of box =
=
V =
puting the value of b
V =
To find the maximum value of V
(1) we differentiate it
(2)
= 0
12a ( 18 - a ) =
a = 0 and a = 18
(3) putting the value of a if = negative then the value for a ,V is maximum
= 216 - 24a
put the value of a = 0 , = 216
put the value of a = 18 , negative
for the value of a =18 V gives maximum value
Max volume =
= 11664
a = 18 , b = 108 - 4a = = 36
Answer:
I won't answer this for 5 points
Step-by-step explanation: