Answer:
19 girls
Step-by-step explanation:
Since there are 3 more girls than boys, 35-3=32
32/2=16
Now add back the 3
16+3=19
Answer:
5a
Step-by-step explanation:
Solution
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We have x
3
−ax
2
+6x−a
Apply remainder theorem
x−a=0
x=a
Put x=a in equation.
(a)
3
−a(a)
2
+6a−a
=a
3
−a
3
+6a−a
=6a−a
=5a
Then reminder is 5a
30/78 simplified is 15/39
Answer: A. "Segment AD bisects angle CAB." is the right answer.
Step-by-step explanation:
Given : In ΔABC ,AC≅AB.
⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )
Now in ΔACD and ΔABD
AD=AD (common)....(2)
Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.
If AD bisects ∠CAB then ∠CAD=∠BAD..(3)
Now again Now in ΔACD and ΔABD
∠ACB=∠CBA [from (1)]
AD=AD [common]
∠CAD=∠BAD [from (3)]
So by ASA congruency criteria ΔADC≅ΔABD.
Answer:
5 and 11
Step-by-step explanation:
Make equations:
x+y = 16
3x-4 = y
Substitute 3x-4 as y in x+y = 16
You get x + 3x - 4 = 16
Simplify into 4x - 4 = 16
Add 4 on both sides
you get 4x = 20
Divide each side by 4,
You get x = 5. Plug 5 back into x+y = 16
Subtract 5 from both sides, and you get y = 11
