Answer:
Step-by-step explanation:
According to the diagram we observe:
- ∠ACD is the exterior angle of triangle ABC.
As we know the exterior angle is same as the some of the remote interior angles.
It can be shown as:
Substitute the values and solve for x:
- 5x - 18 = 3x - 2 + x + 14
- 5x - 18 = 4x + 12
- 5x - 4x = 12 + 18
- x = 30
Find the measure of m∠ABC:
The matching <u>answer</u> choice is D.
Given: ABCD ∥gram,
BK ⊥ AD , AB ⊥ BD
AB=6, AK=3
Find: m∠A, BK
To proof
as given BK ⊥ AD
thus ΔABK is a right triangle.
thus by using the pythagoras theorem
we have
AB² = BK² + AK²
BK² = AB ²- AK²
= 6² - 3²
= 36 - 9
= 27
Hence
BK = <u>
unit</u>
Now find the value m∠A
by using the trignometric function
FORMULA
cosA = 
cosA = 
= 
m∠A = 60°
hence proved
Answer:
The distance between A and B is 13.6
Step-by-step explanation:
Distance formula=√(x2-x1)²+(y2-y1)²
Where
x1=-7
x2=6
y1=-1
y2=-5
Putting in the formula
Distance=√(6+7)²+(-5+1)²
D=√(13)²+(-4)²
D=√169+16
D=√185
D=13.6
<em>175</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>25 = 5²</em>
<em>35 = 5×7</em>
<em>Lcm = multiply together each of the prime numbers with the highest power</em>
<em>Lcm(25 ; 35) = 5²×7 = 25×7 = 175</em>
<em>Good luck !</em>
