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Bad White [126]
4 years ago
8

If ABCDE ≅ LMNPQ, then how many pairs of corresponding parts are in the figures?

Mathematics
2 answers:
anygoal [31]4 years ago
6 0
There are 10.

A-L
B-M
C-N
D-P
E-Q
Angle A-Angle L
Angle B-Angle M
Angle C-Angle N
Angle D-Angle P
Angle E-Angle Q
Lubov Fominskaja [6]4 years ago
5 0

Answer: 10

Step-by-step explanation:

Given: ABCDE ≅ LMNPQ

We know that if any two polygons are congruent then their corresponding sides and angles are congruent.

Since, the given polygons' name has 5 letters, therefore they must have 5 vertices i.e. 5 angles (∠A≅∠L, ∠B≅∠M, ∠C≅∠N, ∠D≅∠P, ∠E≅∠Q) and 5 sides (AB=LM, BC=MN, CD=NP, DE=PQ, AE=LQ )

Therefore, the number of pairs of corresponding parts are in the figures=5+5=10

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83/6 as a mixed number
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\frac{83}{6}=13\frac{5}{6}


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3 years ago
In parallelogram abcd, ab=14, bc=20, m(angle)b=54. Find to the nearest tenth the length of diagonal bd, and find measure angle d
muminat
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20

Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit

Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76° 
3 0
3 years ago
The rectangle shown has a perimeter of 106 cm and the given area. It’s length is 8 more than four times the width. Write and sol
jeka94

Answer:

Step-by-step explanation:

p = 106

L = 8 + 4W

p = 2L + 2W

p = 2(8 + 4W) + 2W

p = 16 + 8W + 2 W

p = 16 + 10W

106 = 16 + 10W

106 - 16 = 10W

90 = 10W

90/10 = W

9 = W

<h2>W = 9</h2><h2 />

L = 8 + 4W

L = 8 + 4(9)

L = 8 + 36

<h2>L = 44</h2>

44 + 44 + 9 + 9 = 106

44 * 9 = Area = 396

6 0
3 years ago
If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.
Westkost [7]

➳ ye lo isse jyada clear answer nahi de sakti

3 0
3 years ago
Read 2 more answers
Mr rosier users 3/8 tank of gas each week to get to work how much does he use in 9 weeks
gregori [183]

Answer:

3.375 or 3 3/8 or 27/8 (all the same answer just in different forms)

Step-by-step explanation:

3/8 x 9 (or 9/1)

8 0
3 years ago
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