Answer:
x=9
Step-by-step explanation:
when two chords intersects each other, then the product of their segments is equal.
JNxNK = LN x NM
3 *x = 2 * 6
x = (3*6)/2 = 18/2 = 9
Applying the triangle sum theorem, we have:
First angle measure = 35°
Second angle = 70°
Third angle = 75°
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.
First angle measure = x
Second angle = 2x
Third angle = (2x + x) - 30 = 3x - 30
x + 2x + 3x - 30 = 180 [triangle sum theorem]
6x - 30 = 180
6x = 180 + 30
6x = 210
x = 210/6
x = 35
First angle measure = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 3x - 30 = 3(35) - 30 = 75°
Learn more about the triangle sum theorem on:
brainly.com/question/7696843
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Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A = 
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° =
tan60° = 
= 
= ( multiply both sides by 6 )
opp = 6 , then
d₂ = 2 × 6 = 12
Thus
A = × 12 × 12 = 6 × 12 = 72
Answer:
1- 3/20
2- 12
Step-by-step explanation:
Given that Lenox ironed 1/4 of the shirts over the weekend, and she plans to split the remainder of the work equally over the next 5 evenings, to determine what fraction of the shirts will Lenox iron each day after school, and, if lenox has 40 shirts, how many shirts will she need to go on Thursday and Friday, the following calculations must be performed:
1---
(3/4) / 5 = X
0.15 = X
15/100 = X
3/20 = X
So each day she will iron 3/20 of her shirts.
2---
40 x (3/20) x 2 = X
6 x 2 = X
12 = X
So on Thursday and Friday she will iron 12 shirts.
