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jek_recluse [69]
3 years ago
11

If MNO = PQR, which of the following can you conclude as being true?

Mathematics
2 answers:
AleksAgata [21]3 years ago
8 0

Answer:

correct choice is A

Step-by-step explanation:

If two triangles are congruent, then all corresponding sides of these triangles are congruent.

You are given than triangles MNO and PQR are congruent, then

  • MN≅PQ;
  • MO≅PR;
  • NO≅QR;
  • ∠M≅∠P;
  • ∠N≅∠Q;
  • ∠O≅∠R.

Thus, correct choice is A

EastWind [94]3 years ago
7 0
<span>If MNO = PQR, which of the following can you conclude as being true?

A. No = QR

Plz branliest

</span>
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I need to find the surface area for this one pls help me
Alex

Step-by-step explanation:

so, you got the volume but don't know how to find the surface area ? that is strange for me. what's the problem ?

the surface of a cube or rectangular prism consists of 6 sides that split (for a rectangular prism) into 3 pairs of equal sides :

top and bottom

left and right

front and back

all we need to do is calculate the areas of these 6 rectangles and add them up. that's it.

in our case

top and bottom : 5×4 × 2 = 20×2 = 40 in²

left and right : 4×4 × 2 = 16×2 = 32 in²

front and back : 5×4 × 2 = 40 in²

so, in total, the whole surface area of the prism is

40 + 32 + 40 = 112 in²

4 0
1 year ago
3 Ingrid earns $200 each week in salary plus a 20% commission (bonus) on her total sales. If Ingrid wants to earn a total of $40
mezya [45]

Answer:

400 = 200 + 0.20x

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
This problem has been solved!See the answerA municipal bond service has three rating categories (A, B, and C). Suppose that in t
mariarad [96]

Answer:

a. \frac{35}{51}

b. \frac{51}{100}

c. \frac{1}{5}

Step-by-step explanation:

Suppose cities represented by C', suburbs represented by S and rural represented by R,

Let x be the total number of bonds issued throughout the US,

According to the question,

n(A) = 70% of x = 0.7x,

n(B) = 10% of x = 0.1x,

n(C) = 20% of x = 0.2x,

n(A∩C') = 50% of n(A) = 0.5 × 0.7x = 0.35x,

n(A∩S) = 20% of n(A) = 0.2 × 0.7x = 0.14x,

n(A∩R) = 30% of n(A) = 0.3 × 0.7x = 0.21x,

n(B∩C') = 40% of n(B) = 0.4 × 0.1x = 0.04x,

n(B∩S) = 30% of n(B) = 0.3 × 0.1x = 0.03x,

n(B∩R) = 30% of n(B) = 0.3 × 0.1x = 0.03x,

n(C∩C') = 60% of n(C) = 0.6 × 0.2x = 0.12x,

n(C∩S) = 15% of n(C) = 0.15 × 0.2x = 0.03x,

n(C∩R) = 25% of n(C) = 0.25 × 0.2x = 0.05x,

n(C') = n(A∩C')  + n(B∩C')  + n(C∩C')  = 0.35x + 0.04x + 0.12x = 0.51x

n(S) = n(A∩S) + n(B∩S) + n(C∩S) = 0.14x + 0.03x + 0.03x = 0.20x

a. The probability that it will receive an A rating, if a new municipal bond is to be issued by a city,

P(\frac{A}{C'})=\frac{P(A\cap C')}{P(C')}=\frac{0.35x/x}{0.51x/x}=\frac{0.35}{0.51}=\frac{35}{51}

b. The proportion of municipal bonds are issued by cities = \frac{n(C')}{x}

=\frac{0.51x}{x}

=\frac{51}{100}

c. The proportion of municipal bonds are issued by suburbs = \frac{n(S)}{x}

=\frac{0.20x}{x}

=\frac{20}{100}

=\frac{1}{5}

3 0
2 years ago
Given PQ = y, RS = 4y - 15, QR = 2 +6, and PS = 4a - 6, solve for the<br> length of RS and QR.
Anna11 [10]

Answer:

Check pdf

Step-by-step explanation:

Download pdf
3 0
3 years ago
What is the perimeter of rhombus LMNO? 20 units 24 units 40 units 48 units
NeTakaya
The little lines on each side of the rhombus mean that all the sides are the same length.

We can set line LM and MN equal to solve for X, then we can solve the length of a side.

3x-3 = x+7

Add 3 to each side:
3x = x +10

Subtract x from each side:

2x = 10

Divide both sides by 2:
x = 10/2
x = 5

Now we have the value for x, replace x in one of the side formulas:

x +7 = 5+7 = 12

Each side = 12 units.

 The perimeter would be 12 + 12 + 12 + 12 = 48 units.



3 0
2 years ago
Read 2 more answers
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