Answer:
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Answer:
a) ∆ABC ~ ∆EDC by AA similarity
b) ED/AB = 3/4
c) 15 cm
Step-by-step explanation:
a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)
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b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.
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c) Using the ratios identified above, we have ...
DC/BC = 3/4 = x/(20 cm)
x = 3/4(20 cm)
x = 15 cm
Answer:
D, B, C, A
Step-by-step explanation:
Solve the equations by combining like terms, isolating the variable, and dividing the equation by the coefficient of the variable.
Doing this, the first equation should be 2, the second equation should be -2, the third equation should be -1, and the last equation should be -6.
Then, we can order them.
Explanation
We are asked to give a counter-example for the given statement
A counter-example is an example that opposes or contradicts an idea or statement.
Therefore, for the statement
we have that
Statement: If an appliance is used for cooling
Conclusion: then it is a refrigerator
Then, the option that contradicts this, will be a clothes dryer
Because a dryer doesn't cool
Hence, the answer is a cloth dryer
option D
If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
Learn more about angle here
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