Answer with explanation:
Given: △ABC is an isosceles triangle with legs AB and AC.Also, △A Y X is also an isosceles triangle with legs A Y and AX.
To Prove: △ABC ~ △A Y X
Proof with Statement
1. △ABC is isosceles with legs AB and AC; △A Y X is also isosceles with legs A Y and AX.
2.AB ≅ AC and A Y ≅ AX.→definition of isosceles triangle
3.AB = AC and A Y = AX →→ definition of Congruency.
4.→→A Y × AC=AX × AC⇒[Multiplication property of equality]
5.≡A Y × AC=AX × AB⇒[Substitution property of equality]
----------------[Division property of equality]
7.Also, ∠A is common angle between two triangles.That is,
∠A=∠A------------[Reflexive property]
⇒Missing statement and Reason in the entire proof.
8.△ABC ~ △AYX----[SAS]
Answer:
C
Step-by-step explanation:
"each type of muffin" indicate the questions have variability
Try breaking these into sections.
Twice: 2 times
The sum of: add
A number: choose a variable, like x
---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"
-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"
Is: equals
-------"Twice the sum of a number and four is" becomes "2(x+4)="
23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"
three times the number: 3 times x
---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"
-------So the final phrase: 2(x+4)=3x-23"
Answer:
Step-by-step explanation:
A=b^2+2bh
b = 3
A = 3^2 + 2(3)h
A = 9 + 6h
6h = A - 9
