Answer:
-7 degrees
Step-by-step explanation:
Make sure to double check, but I think this is the answer.
Isolate "x" onto one side:
5/3 * (6x+3) < 2x - 7
5(6x+3) < 3(2x-7)
30x + 15 < 6x - 21
24x < -36
x < -1.5
Answer:
The father is 75 years old
Step-by-step explanation:
30-5=25 years (sons age)
25×3=75 years old (father)
Given:
Three line segments have measures of 4 units, 6 units, and 8 units.
To find:
Will the segments form a triangle?
Solution:
We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.
Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.
The sum of two smaller sides is
Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.
The sum of the set of x - values given to us is calculated as; ∑X = -1
<h3>How to find the the sum of a set of data?</h3>
We are given;
X1 = 2, X2 = -8, X3 = 4, X4 = -8 and Y1 = -3, Y2 = -8, Y3 = 10, Y4 = 6
1) ∑X = X1 + X2 + X3 + X4
∑X = 2 + (-8) + 4 + 1 = -1
2) ∑Y = Y1 + Y2 + Y3 + Y4
∑Y = 3 + (-8) + 10 + 6
∑Y = -11
3) ∑ X² = X₁² + X₂² + X₃² + X₄²
∑X² = (2)² + (-8)² + (4)² + (1)²
∑X² = 85
4) ∑Y² = Y₁² + Y₂² + Y₃² + Y₄²
∑X² = (-3)² + (-8)² + (10)² + (6)²
∑X² = 209
Complete question is;
Two variables, X and Y assume the values X1 = 2, X2 = -5, X3 = 4, X4 = 1 and Y1 = -3, Y2 = -8, Y3 = 10, Y4 = 6, respectively. Calculate (a) ∑X, (b) ∑ Y, (c) ∑ X² (d) ∑ Y²
Read more about Sum of data at; brainly.com/question/15858152
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