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
evablogger [386]
2 years ago
9

Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl

e ADE is 28°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 62°: Which statement and reason can be used to fill in the numbered blank spaces?

Mathematics
2 answers:
Effectus [21]2 years ago
7 0

Answer:

Because  \angle ECB=62^{\circ}= \angle ADE ( coresponding angles are equal )

Step-by-step explanation:

Given triangle ABC is a right triangle.

It means one angle of triangle ABC is of90^{\circ}.

\angle mA=90^{\circ}

D is the mid point of side AB and E is the mid point of side AC.

Meet D to E . Now DE\parallelBC

In triangle ADE

m\angle ADE=28^{\circ}  ( given )

m\angle DAE=90^{\circ}  ( given)

Now,

Statement : m\angle ADE+ m\angle DAE +m\angle AED=180^{\circ}.

Reason: Angle sum property of traingle.

Statement: 28^{\circ}+ 90^{\circ} + m\angle AED = 180^{\circ}

Reason: By using substitution property .

Statement: \angle AED=62^{\circ}

Reason: By usin subtarction property of equality.

Statement: m\angle AED=m\angle ECB=62^{\circ}

Reason: Corresponding angles are congruent when transversal line intersect two parallel lines.

Hence proved.

icang [17]2 years ago
3 0
Iwould think its Corresponding angles are congruent
Triangle Sum Theorem
<span>Measure of angle AED is 28°


I hope I helped


Brainliest would be appreciated



Have a great day!</span>
You might be interested in
MATH!<br><br><br> -4=2x+16<br><br> x=____?
Dima020 [189]

Answer: x=-10

Step-by-step explanation: hope this help

8 0
2 years ago
Whats wrong in this equation ?
Inga [223]
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________


Turn -2 into a fraction and find the gcf of -2 and 6:

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________

1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6

Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.

5/1 • 1/5x = -13/6 • 5/1
x = 65/6

Then, simplify

65/6} 10.83 or 10 83/100
6 0
3 years ago
When buying bottles of Apple juice Ava spent $1.56 On a 12 -ounce bottle and $0.9 on a 6-ounce bottle. Use unit rates to determi
Verizon [17]
Ok so you divide them and then make sure that 1 is the denominator and the numerator can be anything else
5 0
3 years ago
What is the slope of the line graphed on the coordinate plane?
tigry1 [53]

Answer:

1/4

Step-by-step explanation:

use the slope formula, (y2-y1)/(x2-x1) , or rise over run.

this would give you 2-(-1) divided by 6-(-6)

giving you 3/12, reducing to 1/4

6 0
2 years ago
out of some students appeared in an examination 80% passed in mathematics 75% passed in english and 5% failed in both subjects i
Advocard [28]

Answer:

5000 students appeared in the examination.

Step-by-step explanation:

We solve this question using Venn probabilities.

I am going to say that:

Event A: Passed in Mathematics

Event B: Passed in English.

5% failed in both subjects

This means that 100 - 5 = 95% pass in at least one, which means that P(A \cup B) = 0.95

80% passed in mathematics 75% passed in english

This means that P(A) = 0.8, P(B) = 0.75

Proportion who passed in both:

P(A \cap B) = P(A) + P(B) - P(A \cup B)

Considering the values we have for this problem

P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.8 + 0.75 - 0.95 = 0.6

3000 of them were passed both subjects how many students appeared in the examination?

3000 is 60% of the total t. So

0.6t = 3000

t = \frac{3000}{0.6}

t = 5000

5000 students appeared in the examination.

4 0
2 years ago
Other questions:
  • Write a rule to describe the function shown.<br><br> x y<br> −6 −4<br> −3 −2<br> 0 0<br> 3 2
    8·1 answer
  • What is the biggest number less than 1,000 that has only 2s in its prime factorization?
    8·1 answer
  • 1¼ gallons equals how many pints?
    10·1 answer
  • On his drive from Montpelier, Vermont, to Columbia, South Carolina, Arthur averaged 51 mph. If he had been able to average 60 mp
    5·1 answer
  • I'm in a test please help
    15·1 answer
  • A picnic basket was marked up 95% from an original cost of $9.57. Last Friday, Rosanne bought the picnic basket and paid an addi
    15·1 answer
  • In triangle A B D , the measure of angle A is 10 degree less than the measure of angle B . The measure of angle D is 20 degree m
    7·1 answer
  • What is volume and how is it measured?<br>​
    6·1 answer
  • ) Buyers are charged a shipping fee of $4.75 for each scarf order.
    12·2 answers
  • What is the length of the conjugate axis? (y-2)^2/16 -(x+1)^2/144=1
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!