Answer:
71 degrees
Step-by-step explanation:
please someone help me with this ASAP especially with the workout!!
From the triangle shown;
YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z
28² = 25² + 23² - 2(25)(23) cos Z
784 = 625 + 529- 1150 cos Z
784 - 1154 = -1150cos Z
-370 = -1150cos Z
cos Z = 370/1150
cos Z = 37/115
cos Z = 0.3217
Z = arccos 0.3217
Z = 71.23
hence the measure of <Z is 71 degrees
The exponent of 10x10 is 100
Answer:
$7.80
Step-by-step explanation:
$2.60 * 3 = $7.80
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.




Now, SRT is a straight line.
(Linear pair)


...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get



Therefore, the value of x is 103 degrees.