Answer:
(1) x=-19
Step-by-step explanation:
Let's solve your equation step-by-step.
−4(x+1)−3=−3(x−4)
Answer:
32+9C/5
Step-by-step explanation:
First you must follow PEMDAS, the order of operations. So you mutiply 9 by both sides to get 9C =5(F - 32) then you must divide by 5, to get
9C/5=F-32 and lastly you must add 32 to both sides to cancel out the 32 leaving you with 32+ 9C/5
ΔABD and ΔACD are similar (By A-A-A) and The length of DA is 6.
The triangles where all the corresponding sides of the two triangles are in equal proportion are called similar triangles.
In triangle ΔABC ∠BAC=90°
Let ∠ABC=x
then ∠ACB=90°-x
In triangle ΔADC, ∠ADC =90°
∠ACB=∠ACD=90°-x
∠DAC= 180°-(∠ADC+∠ACD)= 180°-(90°+90°-x)= x
In triangle ΔADB , ∠ADB =90°
∠ABD=x
∠BAD=90°-x
Between triangles ΔABD and ΔACD
∠ABD=∠DAC (=X)
∠BAD∠ACD (=90°-x)
∠ADB=∠ADC (=90°)
from the above, it is clear that triangles ΔABD nad ΔACD is similar. (By A-A-A)
So sides are in equal proportion in 2 triangles,
AD/DC= BD/AD
⇒AD²= BD*DC
⇒AD²=9*4
⇒AD²=36
⇒AD=6
⇒DA=6
Therefore triangles ΔABD and ΔACD are similar (By A-A-A) and The length of DA is 6.
Learn more about similar triangle
here: brainly.com/question/14285697
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Answer:
x ≈ 11.47
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos55° = 
= 
( multiply both sides by 20 )
20 × cos55° = x , then
x ≈ 11.47 ( to the nearest hundredth )
Answer:
Step-by-step explanation: use the equation m=(y2-y1/x2-x1)
M=(-5-(-11)/-1-(-8))
M=6/7
