All categories

2 years ago

Which statement is true about CR and DS?

Mathematics

1 answer:

frosja888 [35]2 years ago

3 0

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:

You might be interested in

If \triangle △RST is isosceles. find x then find m∠S.

rusak2 [61]

Answer:

s=32

Step-by-step explanation:

15x-31 = 9x+11

6x=42

x=7

2(63+11)= 2(74)= 148

180-148=32

3 0

3 years ago

Read 2 more answers

PLS ANSWER ASAP FIRST ONE TO DO SO GETS BRAINLIEST

Marta_Voda [28]

Answer:

Carmen can make $10\frac{5}{16}$ full servings.

Step-by-step explanation:

Given : Carmen mixes $3\frac{1}{2}$ cups of water with $3\frac{3}{8}$ cups of juice to make punch.

Total quantity of punch Carmen made = total cup of water + cup of juice she mixes

Total quantity of punch Carmen made = $3\frac{1}{2}+3\frac{3}{8}$

Solving , we get,

Total quantity of punch Carmen made = $\frac{7}{2}+\frac{27}{8}$

taking LCM(2,8) = 8 , we get,

Total quantity of punch Carmen made = $\frac{28+27}{8}=\frac{55}{8}$

Also, given She pours $\frac{2}{3}$ cup servings of punch.

Thus, $\frac{2}{3}$ cup of mixture makes 1 serving cup.

Using unitary method,

In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.

1 cup of mixture makes $\frac{3}{2}$ serving cup.

$\frac{55}{8}$ cup makes = $\frac{3}{2}\times\frac{55}{8}$

$\frac{55}{8}$ cup makes = $\frac{165}{16}=10\frac{5}{16}$

Thus, She can make $10\frac{5}{16}$ full servings.

5 0

3 years ago

An ice cream shop uses 4 pints of ice cream to make 6 sundaes. The same amount of ice cream was used for each sundae. How many p

lawyer [7]

Answer:

1.5 pints per sundae

Step-by-step explanation:

5 0

2 years ago

Two hot-air balloons, one red and one blue, took off at the same time from different platforms. Each began ascending at a consta

Nataly_w [17]

Answer:

1. the red balloon

2.they both ascended at the same rate

Step-by-step explanation:

4 0

3 years ago

A bakery sold 328 cakes on Monday. It sold 178 more cakes on Monday than on Tuesday. Each cake was sold for $19. How much money

Ne4ueva [31]

Answer: The bakery got $9,082.00.

Step-by-step explanation:

328 - 178 = 150

150 + 328 = 478

478 * 19 = 9082

4 0

3 years ago