Option D:
Right triangle
Solution:
Let us first define obtuse, acute right triangle and supplementary.
<u>Obtuse angled triangle:</u>
If any one of the angle in the triangle is more than 90°, then the triangle is an obtuse angled triangle.
<u>Acute angled triangle:</u>
If all the angles of the triangle are less than 90°, then the triangle is an acute angled triangle.
<u>Right angled triangle:</u>
If any one of the angle in the triangle is exactly 90°, then the triangle is a right angled triangle.
<u>Supplementary:</u>
If sum of the angles is 180°, then the angles are supplementary angles.
But this is not a kind of triangle.
In given triangle one of the angle is 90°.
Therefore, this is a kind of right triangle.
Option D is the correct answer.
Answer:
Hello! answer: 585
Step-by-step explanation:
This polygon can be split into 6 triangles so all you have to do is find the area of 1 then multiply by 6 to get the whole things area so...
15 × 13 = 195 195 ÷ 2 = 97.5 97.5 × 6 = 585 therefore the area is 585 hope that helps you!
Answer:
The appropriate solution is:
(a) 0.1056
(b) 0
(c) 0.9544
Step-by-step explanation:
The given values are:
Mean,

Standard deviation,

(a)
⇒ 



By using the table, we get


(b)
According to the question, the values are:
= 64
= 75
Now,
⇒
= 
= 
= 
= 
⇒ 
![=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ]](https://tex.z-dn.net/?f=%3D1%20-%20P%5B%5Cfrac%7B%28%5Cbar%20x-%5Cmu_%5Cbar%20x%29%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B80-75%7D%7B0.5%7D%20%20%5D)

By using the table, we get


(c)
As we know,
⇒
= 
= 
= 
= 
then,
= 
= ![P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ]](https://tex.z-dn.net/?f=P%5B%5Cfrac%7B74-75%7D%7B0.5%7D%20%3C%20%5Cfrac%7B%5Cbar%20x-%5Cmu%20%5Cbar%20x%7D%7B%5Csigma%20%5Cbar%20x%7D%20%3C%20%5Cfrac%7B76-75%7D%7B0.5%7D%20%5D)
= 
=
By using the table, we get
= 
= 
Answer:
D) 53 Degrees.
Step-by-step explanation:
Things we need to establish beforehand: We know that Lines OZ and OX are equal because they are both radii of the circle. We can make an Iscoceles traingle by drawing a line between ZX. We know angle YZO and angle YXO is a right angle because YZ and XY are tangent to the circle. The Arc angle is the same angle as angle ZOX.
1) Find angles OZX and OXZ. these will be 26.5, because 180-127 is 53, which is the sum of the two angles. the two angles are the same, so divide 53 by 2.
2) Find Angles XZY and ZXY. We know that YZO is a right angle, and both XZY and OZX make up this right angle so XZY + OZX = 90. OZX is 26.5, so 90-26.5=XZY. XZY = ZXY, so both angles equal 63.5.
3) Now that we have two angles of triangle XYZ, we can find angle XYZ. 180-(XZY+ZXY)=XYZ, so (180-(63.5+63.5)=53. Angle XYZ=53.
Answer:
Step-by-step explanation:
https://imgur.com/a/Wqzrtem