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
uranmaximum [27]
3 years ago
5

Look at the picture below

Mathematics
2 answers:
Lelu [443]3 years ago
7 0

Answer: Phillip is correct. The triangles are <u>not </u>congruent.

How do we know this? Because triangle ABC has the 15 inch side between the two angles 50 and 60 degrees. The other triangle must have the same set up (just with different letters XYZ). This isn't the case. The 15 inch side for triangle XYZ is between the 50 and 70 degree angle.

This mismatch means we cannot use the "S" in the ASA or AAS simply because we don't have a proper corresponding pair of sides. If we knew AB, BC, XZ or YZ, then we might be able to use ASA or AAS.

At this point, there isn't enough information. So that means John and Mary are incorrect, leaving Phillip to be correct by default.

Note: Phillip may be wrong and the triangles could be congruent, but again, we don't have enough info. If there was an answer choice simply saying "there isn't enough info to say either if the triangles are congruent or not", then this would be the best answer. Unfortunately, it looks like this answer is missing. So what I bolded above is the next best thing.

spayn [35]3 years ago
4 0

Answer:

Phillip states that the triangles are not congruent.

Step-by-step explanation:

Assume for a second the triangles are congruent.

Then the angles are equal

<A =< X

<B= <Y

<C = <Z

Then

Triangle ABC = Triangle XYZ

from this information

AB = XY

and BC = YZ

and CA = ZX


but the only other piece of information we have is CA = 15 and XY = 15

If this is true then CA = ZX = 15  and AB = XY = 15

That would make this an isosceles triangle  (AB = AC)

so angles B  and C would have to be equal,  but they are not.  

So these two triangles cannot be congruent.

You might be interested in
Todd uses 21 white tiles &amp; some black tiles to make a mosaic.The mosaic has a total area of 144 square centimeters.Each tile
icang [17]

Answer: Todd used 27 black tiles.

Step-by-step explanation:

Let x represent the number of black tiles that Todd used.

Todd uses 21 white tiles & some black tiles to make a mosaic. This means that the total number of white and black tiles that Todd used is 21 + x

Each tile has an area of 3 square centimeters. This means that the total area covered by the white tiles is

21 × 3 = 63 square centimeters

Also, the total area covered by the black tiles is

3 × x = 3x square centimeters

The mosaic has a total area of 144 square centimeters. This means that

3x + 63 = 144

3x = 144 - 63

3x = 81

x = 81/3 = 27

3 0
3 years ago
2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill
timama [110]

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

4 0
3 years ago
Which answer choice shows the decimals in order from least to greatest?
MrMuchimi
I believe the answer is D. 1.121, 1.21, 1.432, 1.53
8 0
3 years ago
X+2y=8 in slope intercept form
jeka94
This question is super easy, all you need to do is isolate the y variable. When you want to isolate it, you have to get rid of other numbers by doing the opposite sign.
x+2y=8     Subtract the x.
2y=8-x      Divide by two.
y=4-1/2x
3 0
3 years ago
a recycling plant processes an averge of 1/3 ton of glass each minute. At approximately what rate does the recycling plant proce
ICE Princess25 [194]
Every 3 minutes they make one ton.
there  are 1440 a da24H) s0 1440/3= 480

So they make about 480 tons per 24 hours
7 0
3 years ago
Read 2 more answers
Other questions:
  • 3 is less than the sum of a number s and 4
    13·1 answer
  • Lauryn grew p tomato plants. Padma grew 5 fewer than 3 times the number Lauryn grew. Kent grew 6 more than 4 times the number La
    14·2 answers
  • NEED ANSWER ASAP!!!
    15·2 answers
  • What is the area of a regular hexagon with a side length of 8.1 yards and an apothem length of 7 yards? HELP ASAP!!! WILL GIVE B
    6·2 answers
  • Homework Help: According to the article "Are Babies Normal?" by Traci Clemons and Marcello Pagano published in The American Stat
    7·1 answer
  • Please help me on this
    9·1 answer
  • Ronald is calculating the density of oranges in a crate. He knows the number of oranges in the crate and the volume of the crate
    9·2 answers
  • HELPPP ASAP PLEASE THE QUESTION IS “ Which equation represents the sentence “the quotient of z and 7 is 9” PLEASE HELP I NEED IT
    13·2 answers
  • What's -9 x 7 plssssssssss answerrrrr quicklyyyy
    13·2 answers
  • The ratio of the drummers to guitar players who tried out for a band is 28:14. If there are 84 drummers,how many musicians are t
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!