Quadrilateral ABCD is a kite
AB is congruent to AD -- definition of a kite
BC is congruent to DC -- definition of a kite
draw a line segment AC
AC is congruent to itself -- identity
triangle ABC is congruent to triangle ADC -- SSS
angle ABC is congruent to ADC
QED
Answer:
m<F = 79 degrees
Step-by-step explanation:
As per the given information;
m<E = 22, the triangle EDF (the one that is given in the picture) is isosceles (meaning that the sides are congruent).
In an isosceles triangle, (a triangle where the sides are congruent) the base angles (the angles opposite to the two congruent sides) are also congruent. One should also know, that in an isosceles triangle, like in any triangle, the sum of the measures of the angles equals 180 degrees.
Using this we can say that
m<D = m<F
To keep it simple while solving the problem, let's say that they have a value of x degrees.
So,
m<E + m<D + m<F =180
Subsitute
22 + x + x = 180
Simplify and inverse operations
22 + x + x = 180
-22 -22
2x = 158
/2 /2
x = 79
So the measure of <D and <F is 79 degrees.
Answer:y=3x-4
Step-by-step explanation:
you add 5 on both sides
simplify
and get y on one side
slope is 3
the y intercept is -4
<u>Answer:</u>
The answer is D : 4.
<u>Step-by-step explanation:</u>
<em>=2x-3>11-5x</em>
<em>=2x-3+5x>11</em>
<em>=7x-3>11</em>
<em>=7x>11+3</em>
<em>=7x>14</em>
<em>=7x/7>14/7</em>
<em>=x>2</em>
<em />
<em />
<em>By simplifying the problem, you can see that "x" </em><em><u>must</u></em><em> be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4. </em>
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<em>I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me. </em>
Answer:
18
36
72
144
Step-by-step explanation:
For numbers to be divisible by 2 they must end in an even number
For numbers to be divisible by 9 the sum of the digits must be divisible by 9