1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sedaia [141]
3 years ago
14

Quadrilateral A B C D is shown. Sides A D and B C are parallel. Sides A B and C D are congruent. Angle A is 115 degrees. What is

the measure of ADC in quadrilateral ABCD? 45° 65° 115° 135°
Mathematics
2 answers:
lilavasa [31]3 years ago
7 0

Answer:

  • 65° if parallelogram
  • 115° if trapezoid

Step-by-step explanation:

<em>Since no diagram attached there are two possible options.</em>

Option 1

The quadrilateral is parallelogram.

<u>In this case ∠A and ∠D sum up to 180°, therefore:</u>

  • ∠ADC = 180° - 115° = 65°

Option 2

The quadrilateral is isosceles trapezoid.

<u>In this case ∠A is congruent with ∠D, therefore:</u>

  • ∠ADC = ∠A = 115°
brilliants [131]3 years ago
4 0

Step-by-step explanation:

Since sides AD and BC are parallel,

Angle BAD + Angle ADC = 180° (co-interior angles)

Therefore Angle ADC = 180° - 115° = 65°.

You might be interested in
In the picture PLEASE HELP
Debora [2.8K]
I believe it's not a function because the input (x) 4 has two outputs(y), 2 and 8.
5 0
3 years ago
1. What is the probability of getting a number greater than 2 on two rolls of a six-sided die both times?
prisoha [69]

Answer:

For this question, the options are written the wrong way. In each of the answers below, the correct form of the question will be added.  

The answers are:

1. e) 4/9

2. a) 1/16

3. 980 girls

4. c) 2/3

5. d) 1/13

6. a) 42 boys

7. d) 1/21

8. b) 1/6

Step-by-step explanation:

1. What is the probability of getting a number greater than 2 on two rolls of a six-sided die both times?

a) 4/3

b) 2/6

c) 4/6

d) 3/6

e) 4/9

The correct answer is e) 4/9 because the probability of getting a number greater than 2 in two rolls is 4/6 * 4/6 =16/36 = 4/9

2. A fair coin is tossed four times. What is the probability that it will be heads every time?

a) 1/16

b) 4/2

c) 2

d) 4/16

e) 1

The correct answer is a) 1/16 because the probability of each time that the coin is tossed is 1/2, and for 4 tosses is 1/2*1/2*1/2*1/2 = 1/16

3. The ratio of the number of girls to the number of boys was 2 to 5. If 2,450 students were present, how many were girls and how many were boys?

The correct answer is 980 girls, because 2450*2/5 = 980

4. A die is rolled twice. What is the probability of rolling a 5 or getting an even number?

a) 3/1

b) 1/12

c) 2/3

d) 1/3

If the die is rolled twice there are 12 possible outcomes and 8 of those outcomes can be 5 or an even number. The probability is 8/12 = 2/3

5. If one card is drawn from a standard deck, what is the probability of getting a jack?

a) 4/13

b) 1/52

c) 52

d) 1/13

e) 4

In a standard deck, there are 13 jack cards, the probability of getting a jack the first time is 1/13

6. There are 210 boys trying out for football. If 20% made the team, how many were chosen?

a) 42

b) 10

c) 4200

d) 105

e) 20

The number of boys that will be picked for the team is 210*20% = 42

7. From 42 boys who made the team, one will be chosen as kicker and one will be chosen as quarterback. What is the probability of being chosen as the kicker or the quarterback?

a) 2/21

b) 1/42

c) 2

d) 1/21

e) 42

The probability of getting picked for one of the 2 positions is 2/42 = 1/21

8. Two dice are rolled. There are 36 possible outcomes of rolling two dice. What is the probability of getting a total of seven on one roll?

a) 7

b) 1/6

c) 0

d) 7/36

e) 1/36

There are 6 ways of getting a sum of 7 tossing 2 dice, 1+6, 6+1, 2+5, 5+2, 3+4, 4+3. The probability is 6/36 = 1/6

3 0
3 years ago
Please help, answer and show me the work. Thanks also solve for x
vova2212 [387]

3.  x+100 = 90   alternate interior angles are equal

subtract 100 from each side

x+100 - 100 = 90-100

x = -10


4.  17x+1 = 120    alternate exterior angles are equal

subtract 1 from each side

17x+ 1 -1 = 120 -1

17x = 119

divide each side by 17

17x/17 = 119

x =7

4 0
2 years ago
HELPPP
Alexxandr [17]
Hope this helps you

3 0
2 years ago
What is the true solution to the equation below?
jarptica [38.1K]

Answer:

Step-by-step explanation:

some rules of logarithmic function

ln(a) - ln(b)=ln(\frac{a}{b})

e^{ln(a)}=a

ln(a)^{n}=nln(a) vice-versa nln(a)=ln(a)^{n}

If ㏑(a) = ㏑(b), then a = b

∴ 2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)

Use the 2nd rule to simplify it

e^{ln(2x)}=2x\\e^{ln(10x)}=10x\\

2㏑(2x) - ㏑(10x) = ㏑(30)

Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})\\\\ln(\frac{4x^{2}}{10x})=ln(30)\\\\ \frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x\\\\ ln(\frac{2}{5}x)=ln(30)

Use the 4th rule

\frac{2}{5} x = 30

Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

3 0
3 years ago
Other questions:
  • 13. If the radius of a cylinder is decreased by
    11·2 answers
  • elliot drove 202.8 miles and used 6.5 gallons of gasoline.How many miles did he travel per gallon of gasoline?
    13·2 answers
  • How can you use the multiplication property of equality to rewrite the equation 0.6x+4.8=7.2 so that the numbers in the problem
    6·1 answer
  • Why is a ray a defined term
    7·1 answer
  • Find the value of -8 + 9 · 2 ÷ -3.<br><br> -2<br> -14<br> -11 <br> - 2/3<br><br> ill give brainlyest
    9·2 answers
  • Which is the graph of x^2/16 + y^2/ 9 =1
    13·1 answer
  • 1:Under what condition will the line px+py+r=0 mat be a normal to the circke x²+y²+2gx+2fy+c=0
    10·2 answers
  • How many 1/4 cup servings are there in 3/8 cup peanut butter?
    8·2 answers
  • WILL GIVE BRAINLIEST!!!<br> What is your favorite color?
    15·1 answer
  • Help please it says name the property​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!