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vova2212 [387]
3 years ago
6

Based only on the information given in the diagram, which congruence theorems could be given as reasons why ABC ~ UVW? Check all

that apply.
A. SAS
B. ASA
C. AAS
D. LA
E. LL
F. HL.
[Check all that apply.]

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
7 0

The right answers are LA and ASA

suter [353]3 years ago
7 0

Answer:

(B) and (D)

Step-by-step explanation:

It is given that there are two triangles  ABC and UVH, then

From ΔABC and ΔUVH, we have

∠A=∠U(Each90°)

AC=UH (Given)

∠C=∠H (Given)

Thus, by ASA rule of congruency,

ΔABC≅ΔUVH

Also, From ΔABC and ΔUVH, we have

If the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent, thus

AC=UH, then ΔABC≅ΔUVH (By LA rule)

therefore, option B and D are correct.

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1000 cylindrical metal bars of length 120 m and diameter 0.2 m , as shown below, are to be used in constructing a bridge. He bar
Troyanec [42]

Answer:

the number of of litres of paint to the nearest litre for 1000 bars is 1 litre

Step-by-step explanation:

Given that:

1000 cylindrical metal bars have :

a length of 120 m

and a diameter of  0.2 m

The volume of the cylindrical bar can be calculated by the formula:

V= \pi r^2 h

where ;

radius   r=\dfrac{d}{2}

r = \dfrac{0.2}{2}

r = 0.1 m

the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m

Thus the volume can now be calculated as follows:

V= \pi* 0.1^2*120

V = 3.77 m³

So; from the given information.

One litre of paint will cover 4m³

and we want to find how many litres of paint will be used for the 1000 cylindrical bars.

If        1 litre = 4m³

Then  x litre = 3.77 m³

4x = 1 × 3.77

x = \dfrac{1*3.77 }{4}

x = 0.9425 litres

x = 1 litres to the nearest litres.

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4 0
4 years ago
a construction company is building a house based on the picture. The scale from picture to real house is 1 inch= 8 feet the heig
stiv31 [10]

Answer:

The Height of the building would be 20 feet.

Step-by-step explanation:

1.) 1/8 = 2.5/X

2.) Answer: 20 Feet

3.) Cross Multiply

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5 0
2 years ago
The number of new customers n that visit a dry cleaning shop in one year is directly related to the
Ipatiy [6.2K]

Answer:

$15,264 cost amount on new advertising.

Shown as new equation that includes (original + new customer base)

n3=15264a

Step-by-step explanation:

First we have to find original amount of customers as 3 represents a multiple of n

n3=13824a

n3 means n x 3 then customer base is one third

= 1/3 x 13,824  = 4608 original customers per year

= 4608 original customers +480 new customers

4608 + 480 = 5088 total orig+initial  customers

5088 x 3 = 15264 cost

= ($)15,264 cost

new equation

n3=15264a

4 0
3 years ago
Nine more than the quotient of a number and 5 is 7<br><br> .
makkiz [27]

x/5 + 9 = 7

We can multiply both sides by 5:

x + 45 = 35

x = -10

7 0
3 years ago
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Represent the following sentence as an algebraic expression, where "a number" is the letter x.
matrenka [14]
By the difference of "5 and a number", I assume you mean that number minus 5. In that case, the expression is 8 times (x-5).

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7 0
4 years ago
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