Answer:
D. 161°
Step-by-step explanation:
m<2 is congruent to m<4, m<1 is congruent to m<3 by properties of a parallelogram
to find x:
4x-17=3x-8
x-17=-8
x=9
m<4=3(9)-8=19
so, m<4=19°
m<2 =19°
to find m<1:
the interior angles of a parallelogram add up to 360°
360-2(19)=2x
2x=360-38
2x=322
x=161°
m<1=161°
A rational number is a number that can be made by dividing two integers. An integer is a number that doesn't have a fraction part.
1. 2.4 - rational
2. 74 - rational
3. 17.3333333… - rational
4. π -irrational
5. there is no number
6. –18 - rational
7. there is no number
8. 87.125 - rational
9. –30 - rational
10. –8.3 -rational
11. 58.25 -rational
12. 121 -rational
13. 4.5 -rational
14. 3 7/10 -rational
As you can see, most numbers are rational. But, when you come across pi or when you have a decimal that goes on forever without repeating (like some square roots), it tends to be irrational.
Answer:
8.24 grams/marble
Step-by-step explanation:
Average mass = (total mass)/(number of marbles)
Here, that would be:
824 g
------------------- = 8.24 grams/marble
100 marbles
The equation: y = 2x/3 + 4 is a line with infinite values for x. So unless you have a y-value to plug in to find the corresponding x-value all you can do is write the equation in terms of y.
x = 3(y-4)/2
The slope and intercepts on the other hand can be determined from the given equation. y= mx + b is slope-intercept form of a linear equation. "m" is the slope and "b" is the y-intercept. Plug in y = 0 to find the x-intercept.
Answer:
Step-by-step explanation:
Given : shape 14cm 11cm 9cm 20cm
To Find : Find area
Solution:
20 - 1 1 = 9 cm
We can divide figure in 2 parts
rectangle = 14 cmx 11 cm
square = 9 cm x 9 cm
Area of rectangle = 14 * 11 = 154 cm²
Area of square = 9 * 9 = 81 cm²
Total area = 154 + 81
= 235 cm²
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