Answer:
U =35.5
Step-by-step explanation:
Since this is a right angle, we can use trig functions
tan theta = opp/ adj
tan U = 5/7
Take the inverse of each side
tan ^-1 tan U = tan ^-1 (5/7)
U = 35.53767779
Round to the nearest tenth
U =35.5
Answer:
the first number is 5 the second number is 4
Step-by-step explanation:
first number = x
second number = y
X+2y=13 given this isolate x x = 13-2y
2x+y=14 substitute 13-2y for x
2(13-2y)+y=14
26-4y+y=14
-3y=-12
y=4 taking this number substitute into either equation above
x+2(4)=13
x+8=13
x=5
Hello,
We know that
1/Angle 1= Angle 6= Angle 9= Angle 14=Angle 3= Angle 8= Angle 11= Angle 16
2/Angle 2= Angle 5= Angle 10= Angle 13= Angle 4=Angle 7=Angle 12= Angle 15
Check:
Option A:
Angle 2= Angle 7
Parallel
Option B:
Angle 3= Angle 11
Parallel
Option C:
Angle 1= Angle 12
None
Option D:
Angle 13= Angle 12
Parallel
Option E:
Angle 6 angle 7 are supplementary; supplementary means that both angles add up together to get 180°. To help you understand clearly, you see that when the two angle on the same line like angle 5 and 6, angle 1 and 5. However, for this one it will be False because both angle are obtuse which more than 90°. Hope it help!
A is the mid point ==> AL = AB = 2AB
6x-17=2(2x+3) => 6x -17 = 4x +6 => 2x = 23 =>x=23/2
then just plug x into LB and AB
Answer:

Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z = 
Simplify,
z = 
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10(
)
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95