Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
For the answer to the question above,
<span><J = 100
</span><span>because they are similar they have the same angles
</span>The two triangles are similar, so they must have corresponding angles. Thats one way to define similarity, it can dilate (zoom in /zoom out) , but the angles are preserved. You can also define similarity in terms of the proportionality of the sides.
"Given △ABC≅△JKL"
The order of the letters counts.
<A = <J
<B = <K
<C = <L
<span>now you can draw two generic triangles, which have the same three angles, but label the angles accordingly, so they match up.
</span>
<span>then by correspondance we can fill in
</span>nightowlthe third angle can be found by the fact that
the three angles must add up to 180.
Answer:
it will be a positive number that is even
Step-by-step explanation:
this is because two negative numbers multiplied make a positive and two odd number multiplied make an even.
please leave a thanks if im correct
The correct answer is A.
Here is the completed problem:
3(4x+5)=12
Distributive property.
3(4x+5)=12
Simplify
12x+15=12
Subtract 15 from both sides.
12x+15−15=12−15
12x=−3
Divide both sides by 12.
12x/12 = −3/12
x= −1/4
None of them are equivalent because
= 3(-2)+7
= -6 +7
= 1
