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1 year ago

In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?

Mathematics

1 answer:

notsponge [240]1 year ago

6 0

Answer:

∠ ADC = 110°

Step-by-step explanation:

∠ CDE = 90° ( angle between perpendicular lines ) , then

∠ CDB + ∠ BDE = 90°

∠ CDB + 20° = 90° ( subtract 20° from both sides )

∠ CDB = 70°

∠ ADC and ∠ CDB are adjacent angles on a straight line and sum to 180° , so

∠ ADC + ∠ CDB = 180° , that is

∠ ADC + 70° = 180° ( subtract 70° from both sides )

∠ ADC = 110°

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Step-by-step explanation:

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2 years ago

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Which number is larger? (1 mark)<br><br> 0.67 or<br> 2/3

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2 years ago

Can I have help with the question

sleet_krkn [62]

Answer:

Midpoint = (3.5, 4.5)

Perpendicular bisector = y = $\frac{7}{9}$ x + $\frac{16}{9}$

Step-by-step explanation:

[] We can solve this using the midpoint formula:

-> See attached

[] Plug-in our coordinates and solve:

$(\frac{7+0}{2} ,\frac{0+9}{2} )=(\frac{7}{2} ,\frac{9}{2} )=(3.5,4.5 )$

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-> We will use slope-intercept form, see attached

$\frac{9-0}{0-7}=\frac{9}{-7}$

-> The slopes of two perpendicular lines are negative reciprocals of each other, so $\frac{7}{9}$ will be the slope of or perpendicular bisector

-> Now we can solve for the equation by using y – y1 = m ( x – x1), were y1 and x1 are the coordinates of our midpoint

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y - 4.5 = $\frac{7}{9}$ x- $\frac{49}{18}$

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Have a nice day!

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2 years ago

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1 year ago

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The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized

castortr0y [4]

Answer:

Step-by-step explanation:

heyq

The correct answer is:

7/10

Explanation:

Finding the totals of each column and row, we find:

There are 3+2+1 = 6 children in the baseball league.

There are 7+2+1 = 10 children in the softball league.

There are 3+7 = 10 children in the 7-9 division.

There are 2+2 = 4 children in the 10-12 division.

There are 1+1 = 2 children in the 13-15 division.

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2 years ago

In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?​

In the figure above, the measure of <BDE is 20 and CD is perpendicular to DE. What is the measure of <ADC ?