Answer:
54°
Step-by-step explanation:
The ratio values can be used to find the angles, then the desired difference can be found. Alternatively, the desired difference can be figured in terms of the ratio units given.
<h3>Ratio of difference to whole</h3>
The number of ratio units representing the largest angle is 5. The number of ratio units representing the smallest angle is 2. The difference of these is 5 -2 = 3.
The total number of ratio units is 3 +2 +5 = 10. This is the number of ratio units representing the straight angle, 180°.
The difference is 3 of those 10 ratio units:
3/10 × 180° = 54° . . . . . . largest - smallest difference
<h3>Find the angles</h3>
There are 10 ratio units in total (3+2+5=10), so each represents 180°/10 = 18°. Multiplying the given ratios by 18° gives the angle values:
3×18° : 2×18° : 5×18° = 54° : 36° : 90°
The difference between the largest and smallest is ...
90° -36° = 54° . . . . . . largest - smallest difference
Answer:
C. The shape has at least one pair of parallel sides.
Step-by-step explanation:
In the box toward the left, you can see that the square has more than 1 parallel line, the hexagon has 1 parallel line and the trapezoid has one pair of parallel lines. On the box toward the right, the right triangle has no parallel lines, the equilateral triangle has no parallel lines, and the shape below has no parallel lines, This means that the shapes are categorized by having at least on pair of parallel sides.
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Firstly,we need to understand the properties of a parallelogram:
-Opposite sides are parallel by .
-Opposite sides are congruent.
-Opposite angles are congruent.
-The diagonals bisect each other.
Therefore in this case:
XW must be congruent to YZ.
WZ must be congruent to XY.
Hope it helps!
Answer:
14 and 21 and 28
Step-by-step explanation:
2:3:4.
The shortest side is 14
14/2 = 7
Multiply each side by 7
2*7:3*7:4*7
14 : 21 : 28
Answer:
-3
Step-by-step explanation:
Here,
x = -3 and y = 9
Now , let's solve
Step 1 :- Put the value of x and y in the expression .
- <u>=</u><u> </u><u>(-3)²</u> - ( 9 )
Step 2 :- Expand exponent.
Step 3 :- Subtract 6 from 9.