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
MatroZZZ [7]
3 years ago
9

In isosceles $\triangle abc$ (with $ab = ac$), point $d$ lies on $ab$ such that $cd = cb$. if $\angle adc = 115^\circ$, what is

$\angle acd$ (in degrees)?
Mathematics
2 answers:
77julia77 [94]3 years ago
5 0

Answer:

15

Step-by-step explanation:

We know that angle CPB = 180 deg - 115 deg = 65 degrees and that triangles CPB and ABC are isosceles so that angle ABC = angle ACB = 65 degrees. Finally, we calculate the measure of angle ACP:

angle ACP = angle ACB - angle PCB = 65 deg - 180 deg - 2(65 deg)) = 15 degrees.

Nuetrik [128]3 years ago
3 0

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

3. Triangle ABC is isosceles, with base BC. Then

m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

4. Angles BCD and DCA together form angle ACB. This gives you

m∠ACB=m∠ACD+m∠BCD,

m∠ACD=65°-50°=15°.

Answer: 15°.

You might be interested in
SOMEONE PLS HELP!! its due in 10 minutes
melisa1 [442]

Answer:

option 2 is better( 3 pizza with 30 inches diameter)

Step-by-step explanation:

Area of the large pizza = A=πr^2=962.11 * 2( for two pizzas)=1924.22

Area for small pizza : A=πr^2=706.86*3 pizza=2120.58

your buying more pizza for less price

(there are more than one way to figure the answer)

3 0
3 years ago
If two is added to four times a certain number, the result <br> is 26. What is the number?
olga2289 [7]
The number is 8 because 4 times 8 equals 24 plus 2 is 26
6 0
3 years ago
Read 2 more answers
Consider the reduction of the rectangle
Alexandra [31]

The question is incomplete. The complete question is as follows.

Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle has a length of 4.5 feet and width of x feet. Not drawn to scale (The drawing is in the attachment). Rounded to the nearest tenth.  

What is the value of x?

A. 0.1 feet

B. 0.6 feet

C. 1.6 feet

D. 2.0 feet

Answer: B. 0.6 feet

Step-by-step explanation: Two quantity are proportional if the ratio of them is constant. From the drawing and the question, we have that the two rectangles are proportional between them.

\frac{x}{2.3} = \frac{4.5}{16.8}

x = \frac{4.5*2.3}{16.8}

x = \frac{10.35}{16.8}

x = 0.6

The width of the smaller rectangle is <u>0.6 feet</u>.

7 0
3 years ago
PLZ HELPPP!!! ILL GIVE BRAINLEST
vlabodo [156]

Answer:

the answer is B

Step-by-step explanation:

4 0
2 years ago
2 people can plough a field in 6 hours how long would it take for 3 people to plough the field?
Zolol [24]

Answer:

2 hours

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please help meeeeeeee
    15·1 answer
  • Which outcomes are in A or B ?
    14·2 answers
  • Evaluate the expression when g=6 and h=4 . h+9g (I NEED HELP FAST)
    10·1 answer
  • Help pls!!!!!! im giving brainliest if you help.
    10·2 answers
  • Write the missing numbers to show equivalent fractions for some common numbers used as benchmarks
    6·2 answers
  • Help! I really need to pass!
    9·2 answers
  • If R is the midpoint of QS, RS = 2x-4, ST = tx-1, and RT = 8x-43
    13·2 answers
  • There is still controversy about whether or not Pluto should be considered a planet. Although planets are mainly defined by thei
    7·1 answer
  • Work out angel x<br><br>Please could u help me with this <br>ASAP thanks you ​
    8·2 answers
  • Geometry question, I need help with this.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!