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
mihalych1998 [28]
3 years ago
8

50 points! I will mark brainliest and thank you! Random answers will be reported

Mathematics
2 answers:
emmainna [20.7K]3 years ago
8 0

Answer and explanations:

since the triangle on the right is a right triangle, <CED is 70 degrees too and therefore <DCE is 40 degrees.

Then because of vertical angles, <ACB is also 40 degrees

<BAC is 180 degrees - 40 degrees - 70 degrees = 70 degrees.

Since there are 2 angles that have the same value, the triangle ABC is isosceles. Done!

balandron [24]3 years ago
4 0

Step-by-step explanation:

<u>ΔCDE</u>

  • CD = CE - given, therefore the triangle is isosceles
  • m∠CDE = 70° - given
  • m∠DEC = 70° - isosceles triangle has two equal angles opposite to equal sides
  • m∠DCE = 180° - 2*70° = 40° - sum of interior angles equals to 180°

<u>ΔABC</u>

  • m∠BCA = 40°- as vertical angle with ∠DCE
  • m∠ABC = 70° - given
  • m∠BAC = 180° - (70° + 40°) = 70° - sum of interior angles equals to 180°

m∠ABC = m∠BAC - the triangle has two equal angles, therefore has two equal sides and is isosceles

You might be interested in
About how much air would fill a ball with a radius of 16cm
podryga [215]
100.531cm is the answer 
3 0
4 years ago
Read 2 more answers
What is the sum of the measures of interior angles ofna regular polygon if each exterior angle measures 72°?
WARRIOR [948]
We know that

The exterior angle measures of a polygon must add up to 360°, 

therefore

 360°/72°=5 exterior angles

so

5 exterior angles, would mean 5 interior angles and therefore  5 sides to the polygon

The exterior angle and the interior angle of any polygon are supplementary and must add up to 180°.

exterior angle+interior angle=180°

interior angle=180°-exterior angle

interior angle=180°−72°-------> 108°
Each interior angle is 108°

The sum of the interior angles would be 

5*108°=540°

the answer is

540°

5 0
3 years ago
On a circle, which of these is not a straight line?
Y_Kistochka [10]

Answer:

circumference

Step-by-step explanation:

it's a circle

6 0
3 years ago
Mrs. Welch and her 5 children are shopping at a local grocery store. Each of the children will be allowed to select one box of c
rusak2 [61]
Her 5 Children? but they have 8 different boxes?
3 0
3 years ago
From a random sample of 68 businesses, it is found that the mean time that employees spend on personal issues each week is 5.8 h
liberstina [14]

Answer: (6.4005, 4.925)

Step-by-step explanation: n = sample size = 68

σ = population standard deviation = 0.35 hours

x = sample mean = 5.8

We are to construct a 95% confidence level for population mean.

This is given below as

Confidence interval = x ± Zα/2 × σ/√n

Where Zα/2 = critical value for a 2 tailed with 5 percent level of significance (that's α=5%) = 1.96

Note that level of significance + confidence level = 100, hence a 95% confidence level will give a 5% level of significance

For the upper limit of the 95% confidence interval, we have that

x + Zα/2 × σ/√n

5.8 +1.96(0.38/√68)

5.8 + 1.96 (0.046)

5.8 + 0.0875

= 6.4005

For the lower limit of the 95% confidence interval, we have that

x - Zα/2 × σ/√n

5.8 - 1.96(0.38/√68)

5.8 - 1.96 (0.046)

5.8 - 0.0875

=4.925

8 0
3 years ago
Other questions:
  • HELP! 5/x+3 - 3/x-2 = 5/3x+6 please show your work. :)
    11·1 answer
  • . A garden measuring 12 m by 16 m is to have a pedestrian pathway that is ???????? meters wide installed all the way
    9·1 answer
  • DIU IVLAS MAIM.
    15·2 answers
  • What is the product of 10 and 9radical 72 in simplest radical form
    5·1 answer
  • Please hurry, it is timed, will mark brainlyist!!!!!!!
    11·2 answers
  • The ratio of the height of the World Trade Center to the height of the Statue of Liberty is 111:10. If the
    10·2 answers
  • Help me answer this question
    12·1 answer
  • Find the measure of the missing angles.
    12·1 answer
  • Which relationship is a function?
    5·1 answer
  • What is the median and mode of 28,34,34,50,54
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!