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madam [21]
3 years ago
14

What value of X guarantees that BC || DE?

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

4

Step-by-step explanation:

as BC║DE

so, AD:BD=AE:CE

   or, CE=(BDₓAE)/AD

   or, x=(5×16)/20=4

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coldgirl [10]
Supplementary angles because because angle 1 + angle 2 = 180° so they form a line
6 0
2 years ago
9x²-18x+14=0 quadratic equation​
Ivahew [28]

Answer:

x∉R

Step-by-step explanation:

1) Solve the quadratic equation 9x²-18x+14=0 using x=(-b±√b²-4ac)/2a:

x=(-(-18)±√(-18)²-4×9×14)/2×9

2) Evaluate the power, calculate the product and multiply the numbers:

x=(18±√324-504)/18

3) Calculate the difference:

x=(18±√-180)/18

4) The square root of a negative number does not exist in the set of Real Numbers:

x∉R

3 0
3 years ago
A circle is centered on point B. Points A, C and D lie on its circumference.
IRISSAK [1]

Given:

A circle is centered on point B.

Points A, C and D lie on its circumference.

If m\angle ABC measures 40°.

To find:

The m\angle ADC.

Solution:

Central angle theorem: According to this theorem, the central angle is equal to the twice of inscribed angle on the same intercepted arc.

In the given figure \angle ABC is the central angle and m\angle ADC is the inscribed angle on the same arc AC.

Using central angle theorem, we get

m\angle ABC=2m\angle ADC

40^\circ=2m\angle ADC

\dfrac{40^\circ}{2}=m\angle ADC

20^\circ=m\angle ADC

Therefore, the measure of angle ADC is 20°.

3 0
3 years ago
Kelly had 4/5 cup of raisins. She used 1/3 cup of raisins when baking.
madreJ [45]
If you make them have the same denominator the fractions would be 


12/15 - 5/15= 
this equals 7/15 and you can't simplify it.

3 0
3 years ago
Integer greater than 2 and less than 12​
timurjin [86]

Answer:

{3, 4, 5, 6, 7, 8, 9, 10, 11}

Step-by-step explanation:

Let integer be x

x > 2 and x < 12

gives

2 < x < 12

All such integers are {3, 4, 5, 6, 7, 8, 9, 10, 11}

3 0
3 years ago
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