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
charle [14.2K]
3 years ago
7

ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.

Mathematics
1 answer:
Travka [436]3 years ago
7 0

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

You might be interested in
Modeling Exponential Growth and Decay In Exercises 119 and 120, Find the exponential function
Lubov Fominskaja [6]

Answer:

There is no exponential function passing through (1,1) and (5,5).

Step-by-step explanation:

We have the following exponential function

y = Ce^{kt}

The function passes through these two points:

(1,1): This means that when t = 1, y = 1

(5,5): This means that when t = 5, y = 5.

So

(1,1)

y = Ce^{kt}

Ce^{k} = 1

e^{k} = \frac{1}{C}

(5,5)

y = Ce^{kt}

5Ce^{k} = 1

Ce^{k} = \frac{1}{5}

From above, we have that:

e^{k} = \frac{1}{C}

C\frac{1}{C} = \frac{1}{5}

1 = \frac{1}{5}

1 cannot be equal to 1/5, so this is wrong.

This means that there is no exponential function passing through (1,1) and (5,5).

5 0
3 years ago
Statements showing a relationship between numbers that are not necessarily equal using the symbols &gt;, &lt;, ≥, ≤, or ≠ are ca
likoan [24]
3.) Inequalities.
Hope it helped.
7 0
3 years ago
Please help me !!!!!!!
-BARSIC- [3]

Answer:

Should be D.

I don't know why it won't let me respond with under 20 characters.

4 0
3 years ago
Read 2 more answers
Enter your answer and show all the steps that you use to solve this problem.
valina [46]

You will save $9


Convert 20% to decimal

Each % is 0.01 so 20×0.01=0.2

Then multiply

45×0.2=9

6 0
3 years ago
Is the relationship in this picture a function<br>if so why?​
navik [9.2K]

Answer:

PLEASE BE CAREFUL NightmareMech14 IS A PREDATOR HE ASKS FOR VIDEOS OF GIRLS AND TRYS TO GET THEM TO EMAIL HIM DONT GIVE HIM ANY INFORMATION STAY SAFE COPY AND PASTE THIS EVERYWHERE

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Round the following numbers to the nearest 10. The numbers they have is 13,21,29
    6·1 answer
  • A road crew spread 1 1/3 tons of gravel evenly over 8 feet of road.how many tons of gravel did they spread on each foot of road?
    11·1 answer
  • What Is the GCF of the group 6x-3?
    12·1 answer
  • A package of 24 pencils costs 2.88$. at this rate how much would 30 pencils cost?
    5·1 answer
  • Which characteristics best describe an acute isosceles triangle?
    14·2 answers
  • Does anyone know how to do this? please help me
    13·2 answers
  • Jane earns $10 per hour babysitting she also earned a one time fee of $40 she earns a total of $100 Write and solve and equation
    11·1 answer
  • 3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 sq
    15·1 answer
  • Nikki and her four friends had lunch at their favorite restaurant. The total bill was $29.00, and they wanted to leave a 15% tip
    9·1 answer
  • Not sure how this works as a fraction to place the dot in the right place
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!