Answer:
x=9
Step-by-step explanation:
−4(4−x)=4/5(x+16)
(−4)(4)+(−4)(−x)=(4/5)(x)+(4/5)(16)(Distribute)
−16+4x=4/5x+64/5
4x−16=4/5x+64/5
4x−16−4/5x=4/5x+64/5−4/5x
16/5x−16=64/5
16/5x−16+16=64/5+16
16/5x=144/5
(5/16)*(16/5x)=(5/16)*(144/5)
x=9
hopfully this helps answer: x=9
Hello!
The solution is where the lines intersect. As you can see, they only intersect at one point.
A) It as one solution.
To find our solution, we just see what the point is they intersect at.As you can see, they intersect at (4,4).
B) (4,4)
I hope this helps!
Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
Answer: see below
<u>Step-by-step explanation:</u>
Any value x such that |x| < 1 will make the conjecture false
<em>In simpler words, let x be a fraction between 0 and 1.</em>
One example: Let x = 
Then x⁴ = 
= 
< 
so the conjecture is false.