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Sauron [17]
3 years ago
13

Fill in the blank: A rectangle is a special parallelogram with equal right angles and 4 pairs of __________sides.

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

Answer:

Parallel sides

Step-by-step explanation:

A rectangle has all of its interior angles equal to each other and inclined at a degree of 90.

The two opposite sides of a rectangle are parallel to each other.

Parallel lines are lines that will never meet, no matter how long that they are extended.

If we can extend the two sides of the rectangle facing each other, we will be able to see that they will never meet no matter how far they are extended.

Thus, the rectangle has 2 pairs of parallel lines

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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

4 0
3 years ago
Need help on this math pls points and brainlest Math angles
iVinArrow [24]

Answer:

x = 28

m<ABC = 57°

Step-by-step explanation:

✔️(2x + 1)° + 33° = 90° (complementary angles)

Solve for x

2x + 1 + 33 = 90

Add like terms

2x + 34 = 90

2x = 90 - 34 (subtraction property of equality)

2x = 56

Divide both sides by 2

x = 28

✔️m<ABC = 2x + 1

Plug in the value of x

m<ABC = 2(28) + 1

= 56 + 1

m<ABC = 57°

5 0
3 years ago
Read 2 more answers
a 21​-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece
aivan3 [116]

The first board is approximately 0.45 the second board is approximately 0.9 and the third board is approximately 19.8

7 0
3 years ago
Mr. Lopez and Ms. Spence both went on separate road
ziro4ka [17]

Answer:

950 miles

the problem states that Mr. Lopez drove 77 more miles so just add 873+77 to get 950 miles

7 0
3 years ago
Find the perimeter of a circle whose diameter is 7 cm​
ivanzaharov [21]

Find the perimeter of the circle is the same as finding the circumference of the circle.

Circumference Formula: C = 2πr

Divide the diameter by 2 to find the radius.

7 / 2 = 3.5

Solve using the given values.

C = 2(3.14)(3.5)

C = 2(10.99)

C = 21.98

Therefore, the circumference (perimeter) of the circle is 21.98cm²

Best of Luck!

8 0
3 years ago
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