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
Nadusha1986 [10]
3 years ago
11

Pls help! and a reason.

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

Answer:

\angle BDA = 72^{\circ}

\angle DAB = 36^{\circ}

\angle BDC = 108^{\circ}

\angle BCD = 36^{\circ}

\angle DBC = 36^{\circ}

Step-by-step explanation:

Given

\angle ABD = 72^{\circ}  

Required

Determine the missing angles

Since AB = AD, then:

\angle ABD = \angle BDA --- Base angles of an isosceles triangle

Hence:

\angle ABD = \angle BDA = 72^{\circ}

\angle ABD + \angle BDA + \angle DAB = 180^{\circ} --- angles in a triangle

72^{\circ} + 72^{\circ} + \angle DAB = 180^{\circ}

144^{\circ} + \angle DAB = 180^{\circ}

Collect Like Terms

\angle DAB = 180^{\circ} - 144^{\circ}

\angle DAB = 36^{\circ}

\angle BDA + \angle BDC = 180^{\circ} --- angle on a straight line

72^{\circ} + \angle BDC = 180^{\circ}

\angle BDC = 180^{\circ} - 72^{\circ}

\angle BDC = 108^{\circ}

Since ABC is isosceles, then:

\angle DAB = \angle BCD = 36^{\circ} --- base angle of isosceles

\angle BCD = 36^{\circ}

Lastly:

\angle BCD + \angle BDC + \angle DBC = 180^{\circ}

36^{\circ} + 108^{\circ} + \angle DBC = 180^{\circ}

\angle DBC = 180^{\circ} - 36^{\circ} - 108^{\circ}

\angle DBC = 36^{\circ}

<em>See attachment</em>

You might be interested in
Ox=20
nexus9112 [7]

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

<h3>How to form a linear equation</h3>

Let the time taken to play basketball be "x"

Let the time taken to play volleyball be "y"

According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;

x + y = 95

If he plays basketball for 25 minutes long, then;

x = 25

The pair of linear equations that represents the statement are:

x  + y = 95
x = 25

The time it takes Eric to play volleyball every day is expressed as:

y = 95 - x

y = 95 - 25

y = 70 minutes

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

Learn more on linear equations here: brainly.com/question/14323743

3 0
3 years ago
Katie keeps a record of her transactions in a notebook. Looking over her records for the past two weeks, Katie finds that her ba
kodGreya [7K]
<span>c is the correct answer</span><span />
4 0
4 years ago
Read 2 more answers
Lynn plotted point G, 3 units to the left and 2 units above point F. Where did lynn plot point G?
kvasek [131]

Answer:

G = (2,6)

Step-by-step explanation:

See Attachment for Complete Question

From the attachment, we can see that F is plotted at

F = (5,4)

On the x axis, G is 3 units to the left;

And on the y axis, G is 2 units above

So, the coordinates of G is calculated as:

G = (5-3,4+2)

G = (2,6)

Hence:

<em>G is plotted at (2,6)</em>

4 0
3 years ago
What is the next term of the geometric sequence? 40/27, 20/9, 10/3, ??
kodGreya [7K]

Answer:

3/1

Step-by-step explanation:

8 0
3 years ago
Rational or irrational real numbers
vovikov84 [41]

Answer:

true

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • If a = -2, b = 6, and c = -5, find the value of a(3a² + 2ac)
    12·1 answer
  • Adam is going to cook a turkey for 14 people and wants to allow ¾ lb of turkey for each person.
    14·2 answers
  • I need to write this problem out on paper and show my work. The lesson says to times both decimals by 10 to make them whole numb
    5·2 answers
  • What two numbers can you multiply to get 84?
    5·1 answer
  • Show that f(x)=(x-2)^3+8 is one to one algebraically
    15·1 answer
  • Given the linear equation, 2x +4= 6, find the rate, initial value, and specific value.
    8·1 answer
  • The number of clicks for a search text ad is 50 and the number of impressions is 5000. The CTR would be Group of answer choices
    10·1 answer
  • Calculate the hcf of 125​
    14·2 answers
  • Which equation is equivalent to the formula m = ca? a = cm a equals m over c c = am c equals a over m.
    12·2 answers
  • The radius of a circle is 3 5/12 inches <br> What is the diameter of the circle?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!