Answer:
a) <EGA and <AGB
b) <FGE and <CGB
c) <FGE and <EGC
d) <FGE and <FGA
e) <CGD=55
Step-by-step explanation:
a) Supplementary angles add up to 180 degrees.
<EGA and <AGB are supplementary.
b) Vertical angles are also called X-angles. Think of them as angles in the vertically opposite corners of the letter X.
<FGE and <CGB are a pair of vertical angles
c) Adjacent angles are next to each other.
<FGE and <EGC are a pair of adjacent angles
d) Complementary angles add up to 90 degrees.
<FGE and <FGA are a pair of complementary angles
e) <CGD=<FGA because they are vertical angles.
But <EGA=90-35=55
Therefore <CGD=55
Answer:
Option (A)
Step-by-step explanation:
By the characteristics of a quadrilateral given in the question,
1). All four sides are congruent.
It may be Square, Rhombus
2). Both the pairs of opposite sides are parallel.
It may be Parallelogram, Rhombus.
3). Diagonals are perpendicular.
It may be Rhombus, Rectangle, Square.
Since all three characteristics define the properties of a Rhombus,
The given quadrilateral matches with a rhombus.
Therefore, Option (A) will be the answer.
Do you remember the special case of factoring the difference of 2 squares ?
x² - 5 = (x + √5) (x - √5)
That will be zero if either factor is zero.
First factor:
x + √5 = 0
<u>x = -√5</u>
Second factor:
x - √5 = 0
<u>x = √5</u>
===================================
Another way to look at it is just to sit there and LOOK at it.
<u>x² - 5 = 0</u>
x² = 5
This is true if x = + or - √5 .
I think it’s the second one
Hope that helped
Answer:
Answer is x= 15
Step-by-step explanation:
2= 7/4 + 1/4x
step 1: Add 7/4 on both sides
step 2: multiply both sides by 4