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zubka84 [21]
2 years ago
10

Prove that the following triangles are similar?

Mathematics
1 answer:
Neporo4naja [7]2 years ago
7 0

Answer:

You have that:

angle N = angle Z

and

angle ZYX = angle NYM (because they are vertical angles

Since you have two congruent angles, you can say that the two triangles are similar according to the AA Triangle Similarity Postulate.

You might be interested in
circle 0 shown below has a radius of 27 inches.find to the nearest tenth of a degree the measure of the angle ,x, that forms are
Irina18 [472]

Answer: 29.7 degrees

Step-by-step explanation:

Good, I can see the diagram now!

First calculate circumference of the circle.

C=2πr

C=2π(27)

C=54π in ==> 360 degrees

54π/14=12.11757

360/12.11757=

29.709=29.7 degrees

8 0
2 years ago
Can someone help me with this question please
Rama09 [41]
Answer B would be the best answer because it states how the prices differ and the 1 Liter bottle is able to go into the 2 liter bottle almost two times. Answer A could also be correct but B is more descriptive.
3 0
3 years ago
Can someone help me immediately on this question having to do with triangle ABC?
SVETLANKA909090 [29]
<h3>Answers:</h3><h3>a. Vertices of triangle ABC are: A, B, C</h3><h3>b. Sides of triangle ABC are: AB, BC, AC</h3><h3>c. The side between angle A and angle C is: side AC</h3><h3>d. The angle between sides AB and CA is: angle A</h3><h3>e. Scalene triangle</h3>

=============================================

Explanations:

  • a. Each uppercase letter represents a point or angle of the triangle.
  • b. Connect two points of a triangle and you get a line segment. The order of the letters does not matter. So AB is the same as BA.
  • c. Like with part b, connecting two angles or points forms a segment.
  • d. Note how the letter "A" is in both AB and CA, so this is the shared angle between the two segments.
  • e. Sides AB, BC, and AC are all different lengths, so we have a scalene triangle. If you had two sides equal to each other, then you'd have an isosceles triangle. If all three sides are equal, then it would be equilateral.

There is no need for a diagram, but if you want, you can draw one out. See the attached image below for the diagram. This diagram should hopefully answer any questions you may have about the explanations above. There are many ways to draw the triangle, so your diagram might look different from mine.

7 0
3 years ago
Earl invested 6,000 in a money market account that pays 5% interest quarterly. How much money will he have in his account after
Sedbober [7]

Answer:

The amount becomes $6964.53 after 3 years .

Step-by-step explanation:

Formula

Amount = P (1+\frac{r}{4})^{4t}

Where P is the principle , r is the rate of interest in the decimal form and t is the time in the years .

As given

Earl invested 6,000 in a money market account that pays 5% interest quarterly for 3 years .

P = $6000

5% is written in the decimal form.

= \frac{5}{100}

= 0.05

r = 0.05

t = 3 years

Putting all the values in the formula

Amount = 6000(1+\frac{0.05}{4})^{4\times 3}

Amount = 6000(1+0.0125)^{12}

Amount = 6000\times 1.16075452

Amount =\$ 6964.53\ (Approx)

Therefore the amount becomes $6964.53 after 3 years .


3 0
3 years ago
You go to the store and buy some pencils and sweet tarts. ( $.35 per pencil &amp; $.10 per sweet tart) You purchased a total of
blondinia [14]

Answer:

7 pencils

8 sweet tarts

Step-by-step explanation:

7*0.35=2.45

8*0.10=0.80

2.45+0.80=3.25

7+8=15

8 0
3 years ago
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