To prove that <span>ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent.
From the diagram, it is shown that CA is congruent to RM.
From the first option, given that </span>m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = <span>m∠M = 64°). </span>
This shows that the first option is correct.
From the second option, given that CB = MQ = 29 cm, then we have CA = RM, <span>CB = MQ, but ACB is not congruent to RMQ.
Thus the second option in not correct.
From the third option, </span>m∠Q = 56° and CB ≅ RQ, then we have CA = RM, CB = RQ, ACB = 60<span>°, but we do not know the value of MRQ.
Thus the third option is not correct.
From the fourth option, </span>m∠R = 60° and AB ≅ MQ, then we have <span>CA = RM, AB = MQ, RMQ = </span>64<span>°, but we do not know the value of CAB.
Thus the fourth option is not correct.
From the fifth option</span>, <span>AB = QR = 31 cm, then we have </span><span>CA = RM, </span><span>AB = QR, but we do not know the value of CAB or MRQ.
Thus, the fifth option is not correct.
Therefore, the additional information that </span><span>could be used to prove ΔABC ≅ ΔMQR using SAS is </span><span>m∠A = 64° and AB = MQ = 31 cm</span>
Answer:
Step-by-step explanation:
<u>Given the following data;</u>
Initial velocity = 0 (since the stone is starting from rest).
Final velocity = 32 m/s
Acceleration = g = 10 m/s²
Time = 3.2 seconds
To show that the speed of the stone when it hits the ground is 32 m/s, we would use the first equation of motion;
Where;
- V is the final velocity.
- U is the initial velocity.
- a is the acceleration.
- t is the time measured in seconds.
Substituting into the formula, we have;
<em>Proven: 32 m/s = 32 m/s</em>
Answer:
Answer: A
Step-by-step explanation:
From the table given, the data sets are such that set A is a linear function while data set B is follows an exponential function. Given that the range of data set A over the same domain is smaller that the range of data set B over the same domain. Hence we conclude that the set A is linear and the values increase at a slower rate than set B.
Answer:
your answer will be <em><u>Option A.$3</u></em><em><u>,</u></em><em><u>207</u></em><em><u>.</u></em><em><u>40</u></em>
Step-by-step explanation:
hope it helps...
have a great day!!
Answer:
The answer is option D.
Step-by-step explanation:
f(x) = x² + 2x
g(x) = 2x
To find (ƒ ∘ g)(2) first find (ƒ ∘ g)
To find (ƒ ∘ g) wherever you see x in f(x) replace it with g(x)
That's
(ƒ ∘ g) = (2x)² + 2(2x)
= 4x² + 4x
Substitute 2 into the expression
That's
(ƒ ∘ g)(2) = 4(2)² + 4(2)
= 4(4) + 8
= 16 + 8
= 24
Hope this helps you.
