Answer:
It is given that, AB and P Q are parallel lines.Line segment CR and D S, intersect the two lines.
Line segment CR and D S ,are Transversal to parallel lines, AB and P Q.
⇒∠C + ∠ R=180°
⇒90°+∠ R=180°
∠ R=180°-90°
∠R=90°
Similarly, ∠S=90°
→∠R+∠S=90°+90°=180°
As, sum of interior angles on the same side of transversal is 180°, so lines are Parallel.
→CR║DS
Also, AB║CD→CD║RS.
If in a Quadrilateral, opposite sides are parallel, then it is a Parallelogram,and also each interior angle has measure 90°, so it is a Rectangle.
In a rectangle opposite sides are equal.
Step-by-step explanation:
Answer: The sum of the series is 2,548.
In a geometric series, the values are being multiplied by a constant rate. In this series, we are started at 7 and multiplying by 3.
Our series would be:
7 21 63 189 567 1701
If we add up those values, we have a total of 2,548.
Answer:
≈ 27 m
Step-by-step explanation:
Assuming the house is in the form of rectangle:
- Length = 17 m
- Width = 21 m
- Diagonal =?
As per Pythagorean,
- d = √l²+w² = √17² +21² = √289+441 = √730 ≈ 27 m
2/4 is the larger fraction. Think of a candy bar that is cut into 4 equal pieces. Now think of the same sized candy bar cut into 6 pieces. The candy bar that has been cut into sixths has more pieces but they are smaller pieces that the candy bar cut into fourths.
**When comparing fractions, if the numerators are the same (like they are in this problem) look at the denominators. Whichever fraction has the greater number is actually going to be the smaller fraction (more pieces, but smaller pieces). If the denominators are the same, then the fraction that has the greater number in the numerator will be the larger fraction (more same-sized pieces than the other fraction)
Hope that helps!
