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
Setler79 [48]
3 years ago
8

A conjecture and the flowchart proof used to prove the conjecture are shown.

Mathematics
2 answers:
dexar [7]3 years ago
8 0
Okay. An obtuse triangle is any triangle that has 1 angle that measures more than 90°. As we can see, angle QRS measures 76° and angle PRQ measures 104°. 104 > 90. Triangle PQR is a closed figure, and a triangle measures 180° total. There can only be 1 obtuse angle in any triangle. PRQ is an obtuse angle. Therefore, triangle PQR is an obtuse triangle.

Vsevolod [243]3 years ago
7 0

Answer:-

Given: m∠QRS=76°

Prove: △PQR is an obtuse triangle.

Proof:- ∠ORS=76° [given]

∠PRQ and ∠QRS are supplementary . [Linear pair postulate.]

m∠PRQ+76°=180° [Substitution property of equality]

m∠PRQ=104°  [Subtraction property of equality]

∠PRQ is an obtuse angle [Definition of obtuse angle]

ΔPQR is an obtuse triangle.[Definition of obtuse triangle]


You might be interested in
$59.99 if it where on sake for 25% off
gulaghasi [49]
The item would cost approximately $45. You can do this by taking the price of the item ($60) and multiply by the percent (25%). 60 x 0.25 = 15. That is the discount you would subtract from the item itself. Now you would take the original price ($60) and subtract the discount ($15). 60 - 15 = 45.
6 0
3 years ago
Read 2 more answers
(1.2×10^2) + (3.04×10^5)
PSYCHO15rus [73]

(1.2×10^2) + (3.04×10^5)

They must be to the same power to add

3.04 *10^5   to change to the 2nd power (5-2=3) move the decimal 3 places to the right = 3040. * 10^2

1.2 * 10^2   + 3040 *10^2=

add the numbers keep the exponents the same

3041.2 * 10^2

there can only be 1 number before the decimal in scientific notation so we need to move the decimal 3 places to the left, which adds 3 to the exponent

3.0412 * 10 ^ (2+3)

3.0412 * 10^5


8 0
3 years ago
FIND VALUEE OF Y !!!
Mazyrski [523]

Answer:

7.

Step-by-step explanation:

9y+12=75

subtract 12 from 75

divide by 9y

5 0
3 years ago
If there are 36 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
marishachu [46]

Answer:

You have the two numbers, so 36/60 is the ratio of boys to girls.

Step-by-step explanation:

You will want to simplify those numbers (reduce to lowest terms).

8 0
3 years ago
Read 2 more answers
Alex created a new game. Please HELP!​
natulia [17]

Answer:

64

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • a ruby throated hummingbird beats its wing 159 times in 3 seconds.how many times does the ruby throated humming beat its wings p
    10·2 answers
  • If the measure of angle 5 equals 102 degrees, then the measure of angle 8 equals what?
    11·1 answer
  • Photo attached. Thanks in advance!
    9·2 answers
  • ^^^^^^^^^^^^^^^^^^^^
    6·2 answers
  • Determine the slope of the line through the points (4,7) and (4,6)
    12·2 answers
  • Can someone please help me ASAP
    6·2 answers
  • Plz help and explain ur answer
    12·1 answer
  • If you place a 23-foot ladder against the top of a building and the bottom of the ladder is 11 feet from the bottom of the build
    15·2 answers
  • Please help. -9x+12x=3(2-x)
    5·1 answer
  • Jeff is buying books at a used bookstore he wants to approximate the total cost of his purchase before checking out which amount
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!