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Contact [7]
3 years ago
5

Can someone please help me with this question? Thank you!

Mathematics
1 answer:
kvasek [131]3 years ago
3 0

Answer:

The arcs are not congruent which makes the statement false.

Step-by-step explanation: Congruent means equal to my understanding.


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Given ABCE is a rectangle, D is the midpoint of CE<br> Prove AD =~ BD
Bas_tet [7]

Since the congruent operator is ≅ and since AD is congruent to BD, I'm going to assume that you want to prove that AD is congruent to BD.    
1. DE is equal to CD by definition since D is the midpoint of CE.  
2. AE is equal to BC since opposite sides of a rectangle are equal to each other.  
3. Angle AEC is equal to Angle BCE since all angles in a rectangle are right angles and all right angles are equal to each other.  
4. Triangles ADE and BDC are congruent to each other because we have SAS congruence for both triangles.  
5. AD is congruent to BC since they're corresponding sides of congruent triangles.
5 0
3 years ago
If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG
kvasek [131]

Answer:

EG = 2 units

Step-by-step explanation:

Given that line q bisects EG at T , then

ET = TG  ( substitute values )

\frac{1}{3} x = x - 2 ( multiply through by 3 to clear the fraction )

x = 3x - 6 ( subtract x from both sides )

0 = 2x - 6 ( add 6 to both sides )

6 = 2x ( divide both sides by 2 )

3 = x

Then

ET = \frac{1}{3} x = \frac{1}{3} × 3 = 1

TG = x - 2 = 3 - 2 = 1

Thus

EG = ET + TG = 1 + 1 = 2 units

8 0
2 years ago
Read 2 more answers
I don't understand rational and irrational numbers
PSYCHO15rus [73]

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

 

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.  


\dfrac{7}{16} \ as \ a \ decimal = 0.4375


Set \ up \ the \ long \ division. 


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Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be  \ divided \ by \ 16.&#10;&#10;


Calculate \ 60 \div 16, which \ is \ 3 \ with \ a  \ remainder \ of \ 12.&#10;&#10;


Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.&#10;&#10;


Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.&#10;&#10;


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<span>
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Decimal = 0.4375&#10;

4 0
2 years ago
The weights of a large number of miniature poodles are approximately normally distributed with a mean of 8 kilograms and a stand
harina [27]

Answer and Step-by-step explanation:

Considering the table attached.

(a) over 9.5 kg;

μ = 8

σ = 0.9

z = 9.5 - 8/0.9 ≈ 1.67

P (Z > 1.67) = 0.5 - P(0<Z<1.67) = 0.5 - 0.4525 = 0.0475

(b) at most 8.6 kg;

z = 8.6-8/0.9 ≈ 0.67

P(Z < 0.67) = 0.5 + P(0<Z<0.67) = 0.5 + 0.2486 = 0.7486

(c) between 7.3 and 9.1 kg.

z₁ = 7.3-8/0.9 ≈ -0.78

z₂ = 9.1 - 8/0.9 ≈ 1.22

P(-0.78 < Z < 1.22) = P(0 < Z < 0.78) + P(0 < Z < 1.22) = 0.2823 + 0.3888 = 0.6711

3 0
3 years ago
PLEASEEEE HELPPP with both of them if you can!
Jet001 [13]

Answer:

Tenacious tennis: y=5x+120

Totally Tennis: 8x

Toys r us: y=20x

Lego club: y=17x+36

Step-by-step explanation:

y=cost x= tennis court usage charge

Tenacious tennis: y=5x+120

Totally Tennis: 8x

8.)

y=cost x=lego set

Toys r us: y=20x

Lego club: y=17x+36

3 0
3 years ago
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