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deff fn [24]
3 years ago
6

In ΔABC, AC = BC, CD ⊥ AB with D ∈ AB , AB = 4 in, and CD = sqrt3 in. Find AC.

Mathematics
1 answer:
amid [387]3 years ago
8 0
Check the picture below.

segments AC and BC are equal, that means that ABC is an isosceles triangle, with twin sides.  Now the twin sides make twin angles on the opposite side, namely the angles at A and B are twins.

if the angles at A and B are twins, and CD is ⟂ to AB, there's only one possibility that can happen, and is if CD is an angle bisector at C.

an angle bisector like CD with twin angles on each side, will cut AB in two equal halves, therefore, if AB = 4, then AD = 2 and DB = 2.

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If angle one measures 108 degrees, what is the measure of angle 3?
inna [77]

Answer:

Step-by-step explanation:

∠2= ∠1   { vertically opposite angles}

m,n are parallel lines and a is transverse.

So, ∠3 = ∠2   {corresponding angles}

∠3 = 108

8 0
3 years ago
What is the side length of a square with an area of 144x^2?
zvonat [6]
To answer this, we need to know the expression for the area of a square which is the square of its side length or:

Area = a²

Solving for the side length,

a = √area
a = √144x²
a = 12x

Therefore, the side length is 12x.
6 0
3 years ago
What is the volume of a cylinder of radius 4cm and length of 8cm. famula π=3.14​
jarptica [38.1K]

Answer:

401.92 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = (3.14) (4)^2 *8

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7 0
3 years ago
HELPPP
kiruha [24]

Answer:

90

Step-by-step explanation:

You would get 36 dollars from 90 liters.

The answer is in the photo.

6 0
3 years ago
In the equation x/35 = 7, what is the value of x? <br> A. 35 <br> B. 245 <br> C. 7 <br> D. 5
tensa zangetsu [6.8K]
The equation given in the question has one unknown variable in the ofrm of "x" and there is also a single equation. So it can be definitely pointed out that the exact value of the unknown variable "x" can be easily determined. Now let us focus on the equation given in the question.
x/35 = 7
x = 35 * 7
x = 245
So we can find from the above deduction that the value of the unknown variable "x" is 245. The correct option among all the options given in the question is option "B". I hope the procedure is not complicated for you to clearly understand.
8 0
3 years ago
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