Answer:
1. 90°
2. 90°
3. 40°
4. 45°
5. 45°
Step-by-step explanation:
<u>Given:</u> ΔABC,
CD⊥AB,
m∠A=50°,
m∠ACB=85°
<u>Solution:</u>
1. ∠ADC is a right ange, because CD⊥AB, so

2. ∠CDB is a right ange, because CD⊥AB, so

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

4. By Angle Addition Postulate,

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

Answer:
Can not be determined (CNBD)
Step-by-step explanation:
In the given triangle ACI,
M is the mid point of CI, So we have
CM= MI
also AM=AM ( reflexive property )
So far we have two pairs of corresponding sides are congruent in ΔCAM and ΔIAM
To prove that ΔCAM≅ΔIAM using SSS (side side side ) congruence theorem
we should have AC =AI , but it is not given,so we can not say that AC=AI
To prove that ΔCAM≅ΔIAM using SAS (side angle side ) congruence theorem
we should have ∠AMC=∠AMI, but it is not given,so we can not say that ∠AMC=∠AMI
We can not determine that ΔCAM is congruent to which triangle
Hence the answer is Can not be determined (CNBD)
The right ans is D.I am 100%sure.
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Answer:
3. vertical stretch by a factor of 2; shift right 1 and down 1
4. shift left 4 and up 4 (no stretch or shrink)
Step-by-step explanation:
The vertex form equation is ...
y = a(x -h)^2 +k
It represents a vertical stretch of the parent function by a factor of 'a', a right shift of 'h', and an upward shift of 'k'.
Compare the the given equations to the above form to see the transformations.
__
3. (a, h, k) = (2, 1, -1) ⇒ vertical stretch by a factor of 2; shift right 1, down 1
4. (a, h, k) = (1, -4, 4) ⇒ no vertical stretch; shift left 4, up 4
Answer:
(300 + 50x)/(2 + x)
Step-by-step explanation:
Let the cost of teachers' edition books be t
Let the cost of students' edition books be s
So t = 150; s = 50
Then the total cost of 2 teachers' editions and x students' editions is 2t + sx = 2 × 150 + 50x = 300 + 50x.
The total number of books is 2 + x.
So the average cost per book is (300 + 50x)/(2 + x)