<u>Given:</u> ∠XAM = ∠YBM = 90° and AM = BM
<u>To prove:</u> BX ≅ AY
<u>Proof:</u>
In the triangle XAM and BYM:
- ∠3 = ∠4 <em>[vertically opposite angles]</em>
- AM = BM <em> [Given]</em>
- ∠XAM = ∠YBM <em>[Both are 90°]</em>
From the ASA rule of congruency, we can say that: ΔXAM ≅ ΔYBM
Since ΔXAM ≅ ΔYBM: We can say that XM ≅ MY <em>[CPCT - Common Part of Congruent triangles]</em>
In the Triangle AMY and XMB:
- ∠1 = ∠2 <em> [vertically opposite angles]</em>
- AM = BM <em>[Given]</em>
- XM = MY <em>[Proved above]</em>
From the SAS rule of congruency, we can say that: ΔAMY ≅ ΔXMB
Since ΔAMY ≅ ΔXMB: We can finally say that BX ≅ AY <em>[CPCT]</em>
Hence Proved!
The answer is a.
The formula for cylinder volume is (pi)(r^2)(h).
To find the volume of this cylinder, it is (pi)(2^2)(5)
That is (pi)(20)
or 20pi
The answer is a.
Answer:
$240
Step-by-step explanation:
From question,
Principal amount,P=$5000
Time period,T=4 years
Internet rate,R=1.2%
Interest earned=(PRT)/100
or,$(5000*1.2*4)/100
or,$240
INTEREST=$240
12-7 = 5, therefore, there are 5 more pencils than pens.