Answer:
WZ = 30
Step-by-step explanation:
set up equation based on WZ = W'Z'
3/4[6x + 10] = 13x - 35
multiply each side of equation by 4 to eliminate fractions:
18x + 30 = 52x - 140
-34x = -170
x = 5
substitute 5 for 'x' in either expression:
13(5) - 35
65 - 35 = 30
C/30 = 8/12
c/30 = 2/3
3c = 60
c = 60/3
c = 20
Answer:
= 78
= 3.5
Step-by-step explanation:
First we need to find
.
We can use the equation
to solve for
.
We can then change that equation to
, since the Commutative Property of Addition says that you can have any addition in any order.
Now, we can solve the equation.

Now that we solved
, we can now solve for
.
Since 25 equals
, we can solve the equation
.
Here is how you solve it:

Since
equals 3.5, which is the simplest form, that is the answer.
Hope this helps, and please mark me brainliest! :)
Answer:
Therefore, HL theorem we will prove for Triangles Congruent.
Step-by-step explanation:
Given:
Label the Figure first, Such that
Angle ADB = 90 degrees,
angle ADC = 90 degrees, and
AB ≅ AC
To Prove:
ΔABD ≅ ΔACD by Hypotenuse Leg theorem
Proof:
In Δ ABD and Δ ACD
AB ≅ AC ……….{Hypotenuse are equal Given}
∠ADB ≅ ∠ADC ……….{Each angle measure is 90° given}
AD ≅ AD ……….{Reflexive Property or Common side}
Δ ABD ≅ Δ ACD ….{By Hypotenuse Leg test} ......Proved
Therefore, HL theorem we will prove for Triangles Congruent.
<ADC = <BAD = 115
hope it helps