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Debora [2.8K]
3 years ago
13

Complete the following statement of congruence: MON~= .

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

C. RTS

Step-by-step explanation:

When two triangles are congruent, they will have congruent vertices, like each vertex has a partner.

Take a look at the shape of the triangle.

If you look at the triangle on the right, you can see it is almost like a right triangle.

"R" is at the right angle. "S" is on the short side and "T" is on the long side.

In the triangle on the left, "M" is at the right angle. "N" is on the short side and "O" is on the long side.

Thus, the pairs of congruent angles are:

M ≅ R

O ≅ T

N ≅ S

When you write the statement of congruence between triangles, order the letters by their congruent pair.

MON ≅ RTS

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Write the standard form of the equation of the circle that passes through the point
AnnZ [28]

Answer:

The standard form of the equation of the circle is x^2+y^2=1.

Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

                                             (x-h)^2+(y-k)^2=r^2

where <em>r</em> is the radius of the circle,  and <em>h</em>, <em>k</em> are the coordinates of its center.

When the center of the circle coincides with the origin h=k=0, so

                                            (x-0)^2+(y-0)^2=r^2\\x^2+y^2=r^2

We are also told that the circle contains the point  (0, 1), so we will use that information to find the radius <em>r</em>.

                                                   0^2+1^2=r^2\\r^2=0^2+1^2\\r^2=1\\r=\sqrt{1}

Therefore, the standard form of the equation of the circle is x^2+y^2=1.

5 0
3 years ago
The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m
SCORPION-xisa [38]
A=s^2 50=S^2 s= sqrt50 s=7.071 ms  a^2+a^2=c^2 50+50=c^2 100=c^2 c= sqrt100 c=10ms  So the answer would be 10 hope this helped
7 0
3 years ago
Read 2 more answers
Can someone please help?
puteri [66]

Answer:

1)Alternate exterior

2) corresponding

3) alternate interior

4) non of these

Mark me brainliest

6 0
3 years ago
A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the
liq [111]

Answer:

<u>The original three-digit number is 417</u>

Step-by-step explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

<u>The original three-digit number is 417</u>

5 0
3 years ago
Brittany has 50 beads. 70% of the beads are gold. How many beads does Brittany have?
Ket [755]

Answer: 35 gold beads and 15 non-gold beads

Step-by-step explanation:

70% of 50

.70×50 = 35

50 - 35 = 15

6 0
3 years ago
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