Answer:
x = -2.44
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 10x from both sides:
x (-10x) = 22 + 10x (-10x)
x - 10x = 22
-9x = 22
Isolate the variable, x. Divide -9 from both sides:
(-9x)/-9 = (22)/-9
x = 22/-9
x = -(22/9)
x = -2.44 (repeating).
x = -2.44 (rounded) is your answer.
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Answer:
x>9 and x<11
Step-by-step explanation:
If you extend the line from 1 through the parallel line you create a transversal and a triangle.
Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.
144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.
The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.
Answer:
Step-by-step explanation:
Q3.
If ΔGHI and ΔJKL are similar, then the sides are in proportion:
We have
JL = x, GI = 9 ft, LK = 24 ft, IH = 12 ft.
Substitute:
<em> multiply both sides by 2</em>
Q4.
We must multiply the original length by a scale factor of 3/4:
Answer:
Kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent
Given: In kite PQRS
where PR and SQ are the diagonals of Kite respectively as shown in the figure given below.
Given: TQ = 3 cm and TP = 4 cm
Let PR is the main diagonal and SQ is the cross diagonal of kite PQRS as shown in figure, also let T is the intersection point of PQRS.
By Property of Kite, diagonal SQ bisects PR at perpendicular angle i.e, 90 degree.
i,e
Then, in right angle ΔQTP
[Using Pythagoras theorem]
Substitute the given values of TQ and TP we have;
Also, PQ = SP [by definition of kite]
therefore, the side SP = 5 cm.
