For a better understanding of the solution given here please find the attached file which has the relevant diagram.
To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.
Please follow the diagram of a complete understanding of the logic and the solution.
As EF is the angle bisector as given in the question, thus we will have:
.
Also, from the Theorem we know that KF will be half of DK and thus, KF will be:
centimeters.
Likewise, from the same theorem we have: 
Answer:
(1, 7 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Then the equations of the 2 lines are
y = 4x + 3 → (1)
y = 6x + 1 → (2)
Substitute y = 6x + 1 into (1)
6x + 1 = 4x + 3 ( subtract 4x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (1)
y = 4(1) + 3 = 4 + 3 = 7
Point of intersection = (1, 7 )
Get the app called Photomath. It should help with this:)
First divide 93 by 3 to get 25% of the original price: 31. Then multiply it by 4 to get the whole original price, which is $124. Now onto the shoes.
Divide 119 by 17 to get 7, which is 5% of the original price for the shoes. Then multiply 7 by 20, which is $140 for shoes.
Subtract 124-93 to get 31, the savings on the dress and also subtract
140-119 to get 21, savings on the shoes. Then add them together to get a grand savings total of $52 in savings. Hope this helps!
Answer: the missing part is 45
suppose: the missing part is x
we use Thales theorem:
Step-by-step explanation:
