Answer: a. 154 is larger than 27 by 127.
b. 25 is larger than 12 by 13.
c.135 is larger than 127 by 8.
d.46 is larger than 24 by 22.
Step-by-step explanation:
Subtract second number from the first number.
a. 154 and 27
Difference=
Hence, 154 is larger than 27 by 127.
b. 25 and 12
Difference=
Hence, 25 is larger than 12 by 13.
c. 135 and 127
Difference=
Hence, 135 is larger than 127 by 8.
d. 46 and 24
Difference=
Hence, 46 is larger than 24 by 22.
The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.
<h3>How to Prove Two Triangles are Congruent?</h3>
The following theorems can be used to prove that two triangles are congruent to each other:
- SSS: This theorem proves that two triangles are congruent when there's enough information showing that they have three pairs of sides that are congruent to each other.
- ASA: This theorem shows that of two corresponding angles of two triangles and a pair of included congruent sides are congruent to each other.
- SAS: This theorem shows that if two triangles have two pairs of sides and a pair of included angle that are congruent, then both triangles are congruent to each other.
The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.
This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.
The answer is: b. ASA.
Learn more about congruent triangles on:
brainly.com/question/1675117
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Answer: The product of (-a + 3)(a + 4) is: -a^2-a+12
Step-by-step explanation:
(-a+3)(a+4) = -a*a-a*4+3*a+3*4
=-a^{2} -4a+3a+12
now just simply combine..
=-a^2-a+12
the answer is -a^2-a+12
Answer:
she would save 1.1 extra gallons
Step-by-step explanation:
54 miles to work
30 miles a gallon so 1.8 gallons to get to work
27 miles a gallon so 2 gallons to get to work
30 miles car saves 5.4 miles more each day she drives to work
5.4 X 5 = 27 extra miles so 1.1 gallons she would be saving each work week
D. . . . . . . . . . . . . . . . . . . .