Answer:
8/9 , 5/7 , 2/3 , 0.62
Step-by-step explanation:
Two ways of solving:
1. Set all to fractions with common denominators
or
2. set all to decimals
The second way is with all honesty easier, so i'll show you that way.
to convert a fraction into a decimal do numerator divided by denominator
so 5/7 = 0.714285714
8/9= 0.888888888...
2/3= 0.6666666 ...
then 0.62
Then simply arrange them in order.
0.888 , 0.7142 , 0.66666 , 0.62
8/9 , 5/7 , 2/3 , 0.62
The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet
<h3>What is a rectangle?</h3>
A rectangle is a quadrilateral with four sides and four vertices each of angle 90°.
Analysis:
Area of rectangle: 19.6 square feet
length of one side = 4.3 feet
width of one side = Area/length = 19.6/4.3 = 4.6 feet
the diagonal and width and length of a rectangle for a right angle triangle.
To find the diagonal, we use Pythagoras theorem
= +
= +
= 39.7
diagonal = = 6.3 feet
in conclusion, the diagonal of the rectangular garden is 6.3 feet
Learn more about quadrilateral: brainly.com/question/23935806
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Answer:
x = 20,
y = 15
m<1 = 75°
m<2 = 75°
m<3 = 75°
m<4 = 105°
Step-by-step explanation:
m<1 = 3x + 15
m<2 = 4x - 5
m<3 = 5y
✔️m<1 = m<2 (corresponding angles are congruent)
3x + 15 = 4x - 5 (substitution)
Collect like terms
3x - 4x = -15 - 5
-x = -20
Divide both sides by -1
x = 20
✔️m<3 = m<2 (corresponding angles are congruent)
5y = 4x - 5 (substitution)
Plug in the value of x and solve for y
5y = 4(20) - 5
5y = 80 - 5
5y = 75
5y/5 = 75/5
y = 15
✔️Find the measure of each labelled angle:
x = 20, y = 15
Thus:
m<1 = 3x + 15 = 3(20) + 15
m<1 = 75°
m<2 = 4x - 5 = 4(20) - 5
m<2 = 75°
m<3 = 5y = 5(15)
m<3 = 75°
m<4 + m<3 = 180° (same side interior angles are supplementary)
m<4 + 75° = 180° (substitution)
m<4 = 180° - 75° (subtraction property of equality)
m<4 = 105°
Answer:
C. there are no solutions because the slopes are the same and the y-intercepts are different.
step-by-step explanation:
y = 2/3x - 6
3y - 2x = 9
y = 0
3(0) - 2x = 9
-2x = 9
/-2 /-2
x = -9/2 = -4.5
x = 0
3y - 2(0) = 9
3y = 9
/3 /3
y = 3
(-4.5, 3)
slope 2/3
y-intercept (0, 3)
there are no solutions because the slopes are the same and the y-intercepts are different