<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
It would be two times the angle ABC
Answer:
16
Step-by-step explanation:
Let the number be X
3/4 of X = 15
Multiplying out gives;
3X = 4x15
3X= 60
X = 20
Therefore, 4/5 of 20
Putting X = 20 we have;
4/5 x 20 = 16.
-------------------------------------------------
16-3/4= 15.25
Answer:
Step-by-step explanation:
(2m + 6)2 = 2m*2 + 6*2
= 4m + 12
