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notka56 [123]
4 years ago
6

Premises:

Mathematics
1 answer:
8090 [49]4 years ago
4 0

Answer: The argument is valid by the law of syllogism

Step-by-step explanation:

Given :-If a quadrilateral has opposite sides that are parallel, then it is a parallelogram.

A rhombus is a quadrilateral where the opposite sides are parallel.

then by law of syllogism (reasoning of transitivity) the conclusion is "A rhombus is a parallelogram."

Law of syllogism is similar to reasoning to transitivity i.e. if a=b and b=c then a=c.

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Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.
alexandr402 [8]
A² = b² + c² - 2bc cosA
a² = 10² + 14² - 2*10*14 cos54
a² = 100 + 196 - 280 * cos54
a = \sqrt{100 + 196 - 280 * cos54}
a = 11.46

5 0
4 years ago
Let f(x) = 5x +7 and g(x) = x-1 . Find f(g(x))
Bogdan [553]

Answer:

f(g(x))=5×(x-1)+7=5x-2

6 0
4 years ago
Angle A and angle B are complementary angles. If m∡a = 4x and m∡b = 3x +13, what is the measure of the smaller angle?
bagirrra123 [75]

Answer:

Step-by-step explanation:

Complementary angles mean two two angles sum with equal 90 degrees. Therefore you would need to create an equation to solve for the value of x.

4x+3x+13=90

-13 -13

7x=77

/7 /7

X=11

Now plug in the value of x.

A=4(11) B=3(11)+13

A=44. B=33+13

B=46

Angle a is the smaller angle and measures at 44°

5 0
2 years ago
How do I solve this????
Arlecino [84]
Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater

so "b" is "4 more than 5 times" "a"

so... 5 times "a" is 5*a or 5a
4 more than "that", will be "that" + 4
or
5a + 4

so.. whatever "a" is, "b" is 5a+4

now, their sum is 22, as opposed to "zz" hehe

so       \bf \begin{cases}
a+b=22\\
--------------\\
\boxed{b}=5a+4\qquad thus\\
--------------\\
a+\boxed{5a+4}=22
\end{cases}

solve for "a", to see what the smaller one is

what's "b"?  well, b = 5a + 4
3 0
3 years ago
Emily kicked the ball in 1 straight direction , it went 10 ft reversed direction and come back to her , how is this possible ?
nydimaria [60]

Answer:

She kicked it up

Step-by-step explanation:

How is this math?

3 0
3 years ago
Read 2 more answers
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