Answer:
Area = 104 m²
Step-by-step explanation:
the figure is composed of a rectangle and a triangle
area of rectangle = length × breadth = 10 × 8 = 80 m²
area of triangle = × base × perpendicular height
the base of the triangle is opposite the 8 m side of the rectangle and is 8 m
the perpendicular height of the triangle is 6m , then
area of triangle = × 8 × 6 = 4 × 6 = 24 m²
sum the areas of the two parts
area = 80 + 24 = 104 m²
Answer:
y = 2/3x + 7/3
Step-by-step explanation:
We know
The line pass through the point (4,5)
The equation is: y = 2/3x - 4
m = 2/3
To solve this, we can use the fact that parallel lines have the same slope. Since the parallel line we're looking for has the same slope, we can use the point-slope form of a linear equation to find its equation:
y - y1 = m(x - x1)
y - 5 = 2/3(x - 4)
y - 5 = 2/3x - 8/3
y = 2/3x + 7/3
So, the answer is y = 2/3x + 7/3
Answer:
i am pretty sure 360 - 45 is 315 right
Step-by-step explanation:
Statements Reasons
1. 2(w + 6) + 4 1. Given
2. (2w + 12) + 4 2. ?
3. 2w + (12 + 4) 3. Associative Property
4. 2w + 16 4. Addition
2.What is the correct reason for statement 2?
Prove: 4 + 3x + (x ∙ 2) = 5x + 4
Statements Reasons
1. 4 + 3x + (x ∙ 2) 1. Given
2. 4 + 3x + 2x 2. ?
3. 4 + 5x 3. Addition
4. 5x + 4 4. Commutative Property
3.What is the correct reason for statement 3?
Prove: (11m) ∙ 4 + m = 45m
Statements Reasons
1. (11m) ∙ 4 + m 1. Given
2. 4 ∙ (11m) + m 2. Commutative Property
3. (4 ∙ 11) ∙ m + m 3. ?
4. 44m + m 4. Commutative Property
5. 45m 5. Addition
4.What is the correct reason for statement 5?
Prove: k + 4 + 6(1 + k) = 11k + 10
Statements Reasons
1. k + 4 + 6(1 + k) 1. Given
2. k + 4 + (6+ 6k) 2. Distributive Property
3. k + (4 + 6) + 6k 3. Associative Property
4. k + 10 + 6k 4. Addition
5. k + 6k + 10 5. ?
6. 7k + 10 6. Addition
5.Select the correct reasons for statements 1 and 3 to complete the proof.
Prove: 3x + 2 • x • 11 = 25x.
1. 3x + 2 • x • 11 = 3x + 2 • 11 • x 1. ?
2. 3x + 2 • x • 11 = 3x + 22x 2. Multiplication
3. 3x + 2 • x • 11 = 25x 3. ?
State the correct reason for each statement
1. 2(w + 6) + 4
2. (2w + 12) + 4
3. 2w + (12 + 4)
4. 2w + 16
Statements Reasons:
1. Given
2. distributive property
3. Associative Property
4. Addition
1. 4 + 3x + (x ∙ 2).
2. 4 + 3x + 2x
3. 4 + 5x
4. 5x + 4
Statements Reasons:
1. Given
2. cummulative property
3. Addition
4. Commutative Property
1. (11m) ∙ 4 + m
2. 4 ∙ (11m) + m
3. (4 ∙ 11) ∙ m + m
4. 44m + m.
5. 45m
Statements Reasons:
1. Given
2. Commutative Property
3. associative
4. Commutative Property
5. Addition
1. k + 4 + 6(1 + k)
2. k + 4 + (6+ 6k)
3. k + (4 + 6) + 6k
4. k + 10 + 6k
5. k + 6k + 10
6. 7k + 10
Statements Reasons:
1. Given
Given 2. Distributive Property
Given 2. Distributive Property 3. Associative Property
Given 2. Distributive Property 3. Associative Property 4. Addition
Given 2. Distributive Property 3. Associative Property 4. Addition 5. cumulative
6. Addition
1. 3x + 2 • x • 11 = 3x + 2 • 11 • x
2. 3x + 2 • x • 11 = 3x + 22x
3. 3x + 2 • x • 11 = 25x
Reasons:
1. associative
1. associative2. Multiplication
1. associative2. Multiplication 3. addition
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Answer:it’s actually ratio of women to total people in the theater is 0.50
Step-by-step explanation:
A ratio of 1.00 for men to Women indicates that the number of men is equal to the number of women. In other words half of the people in the theater are men and the other half or women. Therefore, the ratio of women to total people must be 1/2 = 0.50