Q =11
All you have to do is plug in 11 for Q.
11-3 / 2 = 8/2 = 4
Answer:
x = 15
WX = 34
Step-by-step explanation:
Part 1:
We know that arc AB and AC have to be equal because the lines splitting off from the center point are congruent to eachother.
Lets start by subtracting 106 from 360, which gives us 254. We know that both of our missing arcs have to add up to equal 254 and we also know that they're congruent. This means we can simply divide 254 by 2 to get 127 and set that equal to our 10x - 23.
10x - 23 = 127
Get x by itself
10x = 150
x = 15
Part 2:
Since we're assuming both XY and XW are tangent we're just going to set them equal to eachother.
7x - 29 = 2x + 16
Get your Xs on one side and your constants on the other.
5x = 45
Divide
x = 9
Plug in your x
7(9) - 29
63 - 29
WX = 34
Answer:
5.5
Step-by-step explanation:
Answer:
it's answer is 73°
Step-by-step explanation:
< DCB = 50°
< ACB = x
< CAB = 57°
< ABC = < DCB = 50° {Being alternate angles }
Now
x + 50° + 57° = 180° { being sum of angles of triangle }
x + 107° = 180°
x = 180° - 107°
Therefore x = 73°
Hope it will help :)❤
Answer:
Please refer to the image attached to this answer.
Step-by-step explanation:
we have ΔLMN as our parent triangle, where M=90°. Another triangle ΔPQR is formed which was dilation of ΔLMN with a factor of one and half that is 1.5
We are also given that the center of dilation is M itself . Hence the point Q of the ΔPQR overlap with the M.
Now let us see the image attached with this. The Line LM and MN are extended further till Point P and R respectively.
If LN = x and MN = y
PM = 1.5x and MR = 1.5y
as the scale of dilation is 1.5
Now let us see the the ratio of the sides of the two triangles.
Hence the ratio of the sides is same. There for the triangles are similar to each other.