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MariettaO [177]

3 years ago

14

In parallelogram ABCD, the measure of angle ABC is 3 times the measure of angle BCD. How many degrees are in the measure of angl

e ADC?

1 answer:

Nana76 [90]3 years ago

6 0

The measure of angle ADC is 135 degrees

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5) You randomly choose a marble from a jar. The jar contains 4 red

Dmitry [639]

the probability of the event choosing a yellow marble is 2/9 .

<u>Step-by-step explanation:</u>

Here we have , to choose a marble from a jar. The jar contains 4 red

marbles, 10 blue marbles, 7 green marbles, and 6 yellow marbles. We need to Find the probability of the event choosing a yellow marble . Let's find out:

According to question question we have following parameters as :

Red marbles = 4

Blue marbles =10

Green marbles = 7

Yellow marbles = 6

Now , Probability to chose a yellow marble is :

Favorable outcomes = 6(Number of yellow marbles )

Total outcomes = 4+10+7+6 = 27( Total marbles )

Hence ,

⇒ $Probability = \frac{6}{27}$

⇒ $Probability = \frac{2}{9}$

Therefore , the probability of the event choosing a yellow marble is 2/9 .

4 0

3 years ago

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Solve for X: 2-14x+52=7

meriva

Answer:

Step-by-step explanation:

x=

47

14

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Paula completely covered a square wall using 87.5 ft2 of wallpaper without any overlap. Which measurement is closest to the side

charle [14.2K]

Answer:

do you go to garcia middle school 9 feet is the answer

Step-by-step explanation:

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Line p has an equation of y=-8x+6. Line q, which is perpendicular to line p, includes the point (2,–2). What is the equation of

Arturiano [62]

Answer:

$y = \frac{1}{8} x - 2 \frac{1}{4}$

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

$- 2 = \frac{1}{4} + c$

$c = - 2 - \frac{1}{4}$

$c = - 2 \frac{1}{4}$

Thus, the equation of line q is $y = \frac{1}{8} x - 2 \frac{1}{4}$ .

4 0

2 years ago

Find the values of x, y and z from the given parallelograms.<br>please help please it's a request

Dmitry [639]

Answer:

(ii) (x, y, z) = (110°, 30°, 30°)

(iii) (x, y, z) = (110°, 70°, 70°)

Step-by-step explanation:

The things you need to know and use are ...

Opposite angles of a parallelogram are congruent.

Adjacent angles of a parallelogram are supplementary.

Alternate interior angles between a transversal and parallel lines are congruent.

Corresponding angles where a transversal crosses parallel lines are congruent.

__

(ii) Angles B and D are opposite, so congruent:

x = 110°

Angle DAB is supplementary to angle B, so is 70°. That means z is ...

z = 70° -40° = 30°

Angle y is "alternate interior" relative to z, so is congruent to z:

y = 30°

__

(iii) Angle x is adjacent to angle N, so is supplementary to 70°.

x = 180° -70° = 110°

Angle y is opposite angle N, so is congruent.

y = 70°

Angle z is corresponding to angle N, so is congruent. (It is also "alternate interior" with respect to angle y, so is congruent to y.)

z = 70°

8 0

3 years ago