Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
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If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Two similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line are;
- 1. Arcs are drawn to cross the given line twice on either side relative to the point
- 2. The perpendicular line is drawn using a straight edge by connecting the small arcs formed using the arcs from step 1, to the point on the line or off the line
Description:
1. One of the first steps is to place the compass on the point and from
point, draw arcs to intersect or cross the given line at two points.
2. The compass is placed at each of the intersection point in step 1 and
(opened a little wider when constructing from a point on the line) arcs are
drawn on one (the other side of the point off the line) side of the line with
the same opening (radius) of the compass to intersect each other.
3. From the point of intersection of the arcs in step 2, a line is drawn with a
straight edge passing through the given point.
Learn more about perpendicular lines here:
brainly.com/question/11505244
Answer: -3x^2-3x+9
Step-by-step explanation:
-3(x^2+x-1)+12 = -3x^2-3x-3+12 = -3x^2-3x+9
Answer: OPTION D.
Step-by-step explanation:
<h3>
The complete exercise is: "Which arrangement shows 
, 3.7, 
, and 3.89 in order from least to greatest?"</h3><h3>
</h3>
Convert from mixed numbers to decimal numbers.
The steps to do this, are the following:
1. You must divide the numerator of the fraction by the denominator.
2. Then you must add the quotient obtained to the whole number part.
Applying this procedure, you get that:
Now that you have all the numbers in decimal form, you can order from least to greatest:
Therefore, you can conclude that the correct arrangement is:
This example is the Symmetric Property.
I hope this helps you!
xo, Leafling
