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
leva [86]
3 years ago
6

Match the statements with their values

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0
Tile 1:
In any triangle (regardless its type), the sum of measures of the internal angles is 180°.
This means that:
∠ABC + ∠BAC +  ∠ACB = 180°

Tile 2:
The sum of measures of internal angles of a triangle is 180°.
We are given that:
ΔABC is isosceles where AB = AC 
This means that:
∠ABC = ∠ACB
We are also given that measure angle BAC is 70 degrees
180 = ∠ABC + ∠ACB + 70
∠ABC + ∠ACB = 110°
We know that both angles are equal, therefore:
∠ABC = ∠ACB = 110/2 = 55°

Tile 3:
We are given that ΔQPR is an isosceles triangle where PQ = QR
This means that:∠QPR = ∠QRP
We are given that ∠QRP = 30°
This means that:∠QPR = 30°

Tile 4:
A diagram representing the given scenario is attached.
Now we have:
point D is midpoint to AB and point E is midpoint to BC
There is a theorem stating that: "In a triangle, a line joining the midpoints of two sides is parallel to the third side and equals half its length"
Applying this to the givens, we would conclude that:ED is parallel to AC
Now, since these two lines are parallel, then angles BAC and BDE are corresponding angles which means that they are equal.
This means that:∠BAC = ∠BDE = 45°

Hope this helps :)

You might be interested in
ITS A BIT BLURRY BUT IT WORKS SOMEONE PLEASE GET THIS DONE IN THE NEXT FEW MINUTES ILL MARK BRAINLIEST
ZanzabumX [31]

Answer:

a) m∠T

b) line W and line Z

c) ∠ZTU

d) ∠YTX

e) 90° or m∠5

f) m∠1 and m∠2

g) m∠2

h) 180° or m∠1 & m∠5 or m∠2 & m∠3 & m∠4

i) line WTY and line YTX

j) the angle bisector U

Step-by-step explanation:

5 0
2 years ago
The picture below shows a right-triangle-shaped charging stand for a gaming system:
Kobotan [32]

Answer:

The answer is between first option and last option.

Step-by-step explanation:

That my Contributions to this questions

8 0
2 years ago
Find the absolute value and the opposite of the integer. –98
Lena [83]
<span>Absolute value of -98 is 98

Hope I helped:D </span>
3 0
2 years ago
Read 2 more answers
HELP
Komok [63]

Answer: 1/8 is left over.

Step-by-step explanation:

Tess already at half of the pizza, and Shawn ate a quarter of the pizza.

1/2 + 1/4= 3/4

There is a quarter of pizza remaining, but Molly ate half of that quarter (1/8). There is only 1/8 of pizza left.

5 0
3 years ago
Read 2 more answers
Gregory predicts that 310 people will attend the spring play. And there was an actual total of 220 people who attended the sprin
rodikova [14]
310 - 220 = 90
90/310 = x/100 (cross multiplication) 
9000 = 310x
9000/310 = x
x = around 29%
8 0
3 years ago
Other questions:
  • Based on the scatterplot below, what is the most likely value for “Pounds of Apples” when “Number of Apples” is 80?
    13·2 answers
  • 3 children share 6 crayons equally<br>How many pencils will each child get?<br>​
    12·2 answers
  • Which of the follow tables do not show a linear function
    11·2 answers
  • Find the domain of the function (f/g)(x) given f (x)=x^2-4x-5 and g(x)=x^2-25
    10·1 answer
  • What is the approximate solution to the equation 3t=29 ? 0.3263 3.0650 3.3672 9.6667
    11·2 answers
  • A line containing the points (4,4) and (8,9)
    8·2 answers
  • Clinton had his sister sell some of their toys at a garage sale. Clinton makes $12.94 at the sale, and his sister makes $20.18.H
    14·1 answer
  • In 1950, scientist estimated a certain animal population in a particular geographical area to be 6400 in 2000, the population ha
    10·1 answer
  • Steve read 400 pages in 5 days. Write two equivalent reading rates?​
    7·2 answers
  • Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!