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
Karo-lina-s [1.5K]
3 years ago
13

HELP PLEASE!!! 10 PTS!!

Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

m∠DEC = 78°

Step-by-step explanation:

Given information: AC = AD, AB⊥BD, m∠DAC = 44° and CE bisects ∠ACD.

If two sides of a triangles are congruent then the opposite angles of congruent sides are congruent.

AC = AD                 (Given)

\angle ADC\cong \angle ACD

m\angle ADC=m\angle ACD

According to the angle sum property, the sum of interior angles of a triangle is 180°.

m\angle ADC+m\angle ACD+m\angle DAC=180

m\angle ACD+m\angle ACD+44=180

2m\angle ACD=180-44

2m\angle ACD=136

Divide both sides by 2.

m\angle ACD=68

CE bisects ∠ACD.

m\angle ACE=m\angle DCE=\dfrac{\angle ACD}{2}

m\angle ACE=m\angle DCE=\dfrac{68}{2}

m\angle ACE=m\angle DCE=34

Use angle sum property in triangle CDE,

m\angle CDE+m\angle DCE+m\angle DEC=180

68+34+m\angle DEC=180

68+34+m\angle DEC=180

102+m\angle DEC=180

Subtract 102 from both sides.

m\angle DEC=180-102

m\angle DEC=78

Therefore, the measure of angle DEC is 78°.

You might be interested in
4 √12x please help if your good at math then message me... I will give brainliest
Lina20 [59]
4✔️12x

4✔️4 • 3x

4 • 2 ✔️3x

8✔️3x

This is the solution.
5 0
3 years ago
Sylvia earns $7 per hour at her afterschool job. One wk she worked several hours and received a paycheck for $91. What is the #
sergij07 [2.7K]
Do 91/7 (divide) and you will get your answer. So 91 divided by 7 is 13. Sylvia worked 13 hours that week in turn she earned $91
6 0
3 years ago
Read 2 more answers
Biologists use a formula to estimate the mass of a mammal's brain.
bixtya [17]

Answer:

di ko to alm di nmn ako magaling sa math

8 0
3 years ago
What’s (2x-4)(6+5x) As a polynomial?
Pavel [41]

Answer:

10x² - 8x - 24

Step-by-step explanation:

Given

(2x - 4)(6 + 5x)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(6 + 5x) - 4(6 + 5x) ← distribute both parenthesis

= 12x + 10x² - 24 - 20x ← collect like terms

= 10x² - 8x - 24

5 0
3 years ago
Read 2 more answers
HELP ILL GIVE BRAINLY IF RIGHT !
Bess [88]

Answer:

C

Step-by-step explanation:

im pretty sure its c soo

7 0
3 years ago
Read 2 more answers
Other questions:
  • Find an equation equivalent to r = 10sin ø in rectangular coordinates.
    8·1 answer
  • The sum of two numbers is five. If n is used to represent the smaller number, translate "three less than two times the larger nu
    5·1 answer
  • 14 is what percent of 56?
    13·2 answers
  • What do numbers represent I math
    12·1 answer
  • Three angles of a triangle are cut off and lined up on the line below.   A straight line. 2 lines form a V and come out of the l
    13·2 answers
  • A box of cereal states that there at 90 calories in 3/4 cup serving. How many calories are there in 4 cups of cereal?
    9·2 answers
  • Complete the equation of the line through (3,-8) and (6,-4).<br> Use exact numbers
    15·1 answer
  • A hose can fill a swimming pool in 12 hours. Another hose needs 2 more hours to fill the pool than the two hoses combined. How l
    15·1 answer
  • MODELS. a model ship is built to a scale of 1 centimeter. 5 meters. The legthn of the model is 30 centimeters what is the actual
    5·1 answer
  • F(x)=x^4+3, g(x)=x-7 and h(x)=square root of x then f(g(h(x))=
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!