Answer:
ST = 23
RU = 8
SV = 5
SV = 10
Step-by-step explanation:
Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:
✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.
ST and TU are a pair of adjacent sides.
TU = 23
✅Therefore, ST = 23.
RU and RS are a pair of adjacent sides.
RS = 8
✅Therefore, RU = 8.
✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.
Since UV = 5, therefore,
✅SV = 5
SU = UV + SV
✅SV = 5 + 5 = 10
Hello There!
I believe that the relationships that can help you solve this problem are that the angle is Complementary and Supplementary. It is complementary because within the angle, there is an angle that is 90°. It is also supplementary because the angle itself is 180° making the angle supplementary.
I hope this helps!
Step-by-step explanation:
For 1st question
In a parm ABCD
5x - 4 = 16 ( being opposite sides of parallelogram)
5x = 16 + 4
5x = 20
x = 20 / 5
x = 4
3y + 1 = 22 (being opposite sides of parallelogram)
3y = 22 -1
3y = 21
y = 21 / 3
y = 7
For second question
In parm PQRS
Diagonals bisect each other so
x + 4 = 12
x = 12 - 4
x = 8
x + y = 32
8 + y = 32
y = 32 - 8
y = 24
Hope it will help :)❤
Answer:
MQ and QP are equal, MO and OP are equal, x=2
Step-by-step explanation:
QO is a perpendicular bisector of MP meaning that Triangle MQP must be isosceles (if at least two of the following, angle bisector, median, or an altitude, coincide in a triangle, that triangle must be isosceles). In this case an altitude and median coincide in triangle MQP. This means that MQ=QP as the triangle is isosceles. And also MO=OP because QO is a median. Now solving for x, 11=4x+3, 8=4x, x=2. Hope this helps!
