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77julia77 [94]
3 years ago
11

CD is the perpendicular bisector of both XY and ST and CY=20.

Mathematics
2 answers:
agasfer [191]3 years ago
8 0
Is a 5 percent effective
xenn [34]3 years ago
3 0

Answer:

The correct option is C.

Step-by-step explanation:

It is given that CD is the perpendicular bisector of both XY and ST, and CY=20.

In triangle XCD and YCD,

CD=CD                         (Common sides)

\angle XDC=\angle YDC=90^{\circ}              (Definition of perpendicular bisector)

\angle XD=\angle YD              (Definition of perpendicular bisector)

By SAS postulate of congruent triangles,

\triangle XCD=\triangle YCD

The corresponding parts of congruent triangle are congruent,

CX=CY                (CPCTC)

XC=20                 (CY=20)

The length of CX is 20 units. Therefore the correct option is C.

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(c + b + a) + (-2a - 3b + c)
inna [77]

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▹ Answer

<em>2c - 2b - a</em>

▹ Step-by-Step Explanation

(c + b + a) + (-2a - 3b + c)

<u>Remove the parentheses</u>

c + b + a + (-2a - 3b + c)

<u>Collect like terms</u>

2c + b + a - 2a - 3b

<u>Final Answer</u>

2c - 2b - a

Hope this helps!

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7 0
3 years ago
Read 2 more answers
Tina creates a dot plot using the match scores 3, 2, 4, 5, 2, 3, 1, 2, 1, and 5. Which of the following dot plots represents the
bogdanovich [222]
The answer is

B. A dot plot is shown with the title Match Scores. There are 2 dots over score 1, 3 dots over score 2, 2 dots over score 3, 1 dot over score 4, and 2 dots over score 5.

100% Verified!

Hope This Helps!:)

7 0
3 years ago
An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of stude
AnnZ [28]

Answer:

60 students

Step-by-step explanation:

The confidence interval of a proportion is given by:

p\pm z*\sqrt{\frac{p*(1-p)}{n} }

Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.

If the confidence interval is from 0.584 to 0.816, then:

p=\frac{0.584+0.816}{2}=0.7 \\0.816-0.584=2*(1.96*\sqrt{\frac{p*(1-p)}{n}}) \\0.116=1.96*\sqrt{\frac{0.7*(1-0.7)}{n}}\\n=16.8966^2*(0.7*0.3)\\n=60\ students

60 students were in the sample.

8 0
2 years ago
You start driving north for 16 miles, turn right, and drive east for another 30 miles. At the end of driving, what is your strai
Maru [420]

The distance between starting and ending point is 34 miles.

Step-by-step explanation:

Given,

Car moves 16 miles to north then 30 mile to east.

It forms a right angle triangle.

The straight line distance from starting to ending point represents hypotenuse.

To find the distance between starting and ending point.

Formula

By <em>Pythagoras theorem,</em>

h² = b²+l² where h is the hypotenuse, b is base and l is the another side.

Taking, b=16 and l=30 we get,

h² = 16²+30²

or, h = \sqrt{256+900}

or, h = \sqrt{1156} = 34

Hence,

The distance between starting and ending point is 34 miles.

5 0
3 years ago
ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?
kiruha [24]

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

5 0
2 years ago
Read 2 more answers
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