Which of the following ordered pair could represent the x-intercept of a function?
1 answer:
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No, not possible to tell that the the two triangles, ΔBAC and ΔCED
are similar ⇒ answer D
Step-by-step explanation:
Let us revise the cases of similarity
1. AAA similarity : two triangles are similar if all three angles in the first
triangle equal the corresponding angle in the second triangle
2. AA similarity : If two angles of one triangle are equal to the
corresponding angles of the other triangle, then the two triangles
are similar.
3. SSS similarity : If the corresponding sides of the two triangles are
proportional, then the two triangles are similar.
4. SAS similarity : In two triangles, if two sets of corresponding sides
are proportional and the included angles are equal then the two
triangles are similar.
In the two triangles BAC and CED
∵ m∠BAC = 17°
∵ m∠CED = 17°
∴ m∠BAC = m∠CED
But we need another pair of angles to prove that the two triangles are
similar by AA similarity criterion
<em>OR </em>
The lengths of sides BA , CA and CE , DE to show that
= constant ratio and prove that the
two triangles are similar by SAS similarity criterion
So it is not possible to prove that the two triangles are similar
No, not possible to tell that the the two triangles, ΔBAC and ΔCED
are similar
Learn more:
You can learn more about triangles in brainly.com/question/4354581
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Answer:
Step-by-step explanation:
<u>Common Factors</u>
An algebraic expression that is formed by sums or subtractions of terms can be factored provided there are numeric or variable common factors in all the terms.
The following expression
Can be factored in the constants and in the variable x.
1. To find the common factor of the variable, we must locate if the variable is present in all terms. If so, we take the common factor as the variable with an exponent which is the lowest of all the exponents found throughout the different terms. In this case, the lowest exponent is x (exponent 1).
2. To find the common factors of the constants, we take all the coefficients:
12 - 20 - 32
and find the greatest common divisor of them, i.e. the greatest number all the given numbers can be divided by. This number is 4, since 12/4=3, 20/4=5 and 32/4=8
3. The factored expression is