Answer:
∠VXW = 57°
∠XVW = 56°
Step-by-step explanation:
Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.
Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180 to find the ∠YXZ; 180° - 123° = 57°.
Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°
Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.
Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;
67° + 57° = 124°
180° - 124° = 56°
And that is your answer!
∠VXW = 57°
∠XVW = 56°
The answers to the following question is
1) KL = 10
2) TE= 15 cm
3) angle PUT= 13
4) angle SQP = 21
<h3>What is similarity in triangle?</h3>
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
1) Using similarity property in given triangle
SR/ KI= SJ / JK
AS, JK= 2 SJ
SR/ KI= SJ / 2 SJ
5/ KI = 1/2
KL= 10
2) As, the diagonal of parallelogram bisect equally each other then
VE = TE
AS, VE = 15
So, TE= 15 cm
3) As, PU is the bisector of angle SUT
angle PUT= 1/2 (angle SUT)
PUT = 1/2 (26)
angle PUT= 13
4) As PQ is the bisector SQR
angle PQR= angle SQP = 21
Learn more about similarity of triangles
brainly.com/question/25882965
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Answer:
0.0321
Step-by-step explanation:
This can be found by binomial probability distribution as the probability of success is constant. There are a given number of trials. the successive tosses are independent.
Here n= 5
The probability of getting a four in a roll of a die = 1/6
The probability of not getting a four in a roll of a die = 5/6
The probability of getting exactly three 4s in five throws is given by
5C3 (1/6)³ (5/6)² = 10 (0.0046) (0.694)= 0.0321
