Answer:
1. Rate needed 9/6; Unit rate is 1.5/1; 1.5 cans of white paint are needed for each can of blue.
2. rate needed = 12/6; unit rate = 2/1; Need 2 cups of water for every scoop of fruit mix.
3. 70 minutes
Step-by-step explanation:
1. Set up a ratio
3white/2blue = xwhite/6blue
3/2 = x/6
cross multiply 2x = 18; x = 9
rate needed = 9/6
Unit rate is 1.5/1 (divide 3 by 2 or 9 by 6 to get unit rate_
2. 3/1.5 = x/6
1.5x = 18; x = 12
rate needed = 12/6
unit rate = 2/1
3. Set up a ratio.
3.5/.25 ( 1/4=.25)
3.5/.25 = x/5
.25x = 3.5(5)
.25x = 17.5
x = 70 minutes
Answer:
When point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).
i.e A'(0, 1) is the image of point A after a reflection.
Hence, point A is reflected across the x-axis.
Step-by-step explanation:
When we reflect a point A across the x-axis, the value of 'y' gets negated, but the value of 'x' remains unchanged.
In other words, when point P with coordinates (x, y) is reflected across the x-axis and mapped onto point P', the coordinates of P' will be (x, -y).
Thus, the rule is:
P(x, y) → P'(x, -y)
Thus, when point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).
i.e A'(0, 1) is the image of point A after a reflection.
Hence, point A is reflected across the x-axis.
Option B. 55° is the correct answer
Step-by-step explanation:
"The sum of interior angles of a triangle is always 180°"
Given
m∠A=(3x+1)°
m∠B=(2x-1)°
m∠C = 40°
We know that
m∠A+m∠B+m∠C=180°
Putting the values of angles
Subtracting 40 from both sides
Dividing both sides by 5
We have to find Angle B,
So
m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°
Hence,
m∠B=55°
Option B. 55° is the correct answer
Keywords: Triangle, Interior angles
Learn more about triangles at:
#learnwithBrainly
