Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
Answer:
9.25 or 9 1/4
Step-by-step explanation:
Answer:
R'T = 28
Step-by-step explanation:
Dilation is one of the methods used in transformation. It is a process in which the size of a given object or shape is either increased or decreased by a scale factor.
In the given question, the length of RT was increased by the scale factor, so that;
R'T = RT x scale factor
= 8 x 3.5
= 28
R'T = 28
Therefore, the length of R'T is equal to 28.
Answer:
See below.
Step-by-step explanation:
All statements of congruent angles and congruent segments are correct.
A similarity statement can be written ...
Write a similarity statement ...
ABCD ~ HJKL
The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.
This is the correct reason:
"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."
"A similarity ratio is a ratio that compares the <u>lengths</u> of the corresponding sides of two similar polygons. The ratio is written in the same order as the <u>two</u>
<u>polygons.</u>"
For the similarity ratio, we use two corresponding sides.
AB = 8; HJ = 12
AB/HJ = 8/12 = 2/3
The similarity ratio of ABCD to HJKL is 2/3.
Answer:
5/4
Step-by-step explanation:
, open the bracket
3=28-14u-6u
Collect like terms
3-28=-14u-6u
-25 =-20u
Divide both side by -20
u=-25/-20. Minus sign will cancel each other and reduce to the lowest term
u=5/4
