Which two numbers add up to -29 and multiply to 100?
-25 and -4
Rewrite the expression
<u>(x - 25)(x - 4)</u>
The Tangent Line Problem 1/3How do you find the slope of the tangent line to a function at a point Q when you only have that one point? This Demonstration shows that a secant line can be used to approximate the tangent line. The secant line PQ connects the point of tangency to another point P on the graph of the function. As the distance between the two points decreases, the secant line becomes closer to the tangent line.
Answer:
20-8 = 12 , he waste $12 if he got 4 cans 12 divide by 4 equal 3 so the one can cost $3
Step-by-step explanation:
Answer:
Marisol made $138.75 on the sale of the jacket
Step-by-step explanation:
First we are told that Fernando bought a jacket for $185, and sold it for 1 1/12 what he paid.
Therefore, 1 1/2 of 185;
= 1.5 × 185 = $277.5
Therefore, Fernando sold the Jacket for $277.5
Next, we are told that:
Marisol spent 1/5 as much as Fernando on the same jacket
This means that Marisol spent 1/5 of $185 on the jacket
= 1/5 × 185 = 0.2 × 185 = $37
Therefore, Marisol spent $37 to buy the same jacket
Next, Marisol sold the jacket for 1/2 as much as Fernando. Since Fernando sold the Jacket for $277.5, Marisol sold the jacket for 1/2 of 277.5, and this is calculated as:
1/2 of 277.5 = 0.5 × 277.5 = 138.75
Therefore, Marisol made $138.75 on the sale of the jacket.
First option: correct. This is because angles WOX and XOZ are supplementary, so
Second option: correct. By the inscribed angles theorem, we have
Angles WOX and YOZ are congruent because they form a vertical pair; they both have measure 76 degrees. This means angles WXY and WZY are also congruent, since the interior angles of any triangle sum to 180 degrees in measure. Therefore triangles WXO and YZO form a side-side-side pair, and all SSS triangles are similar.
Third option: not correct. There is a theorem (not sure what the name is) regarding intersecting chords that asserts the average of the measures of arcs WY and XZ is the same as the measure of angle XOZ. This means
Fourth option: not correct. This is because arcs WX and XZ are not "supplementary" in the sense that they do not form a semicircle and their measures do not add to 180 degrees. We know this because it's clear that point O is not the center of the circle. If it was, then angle XOZ would be a central angle and its measure would be the same as the arc XZ it subtends.
Fifth option: correct. The theorem mentioned in the assessment of the third option makes itself useful here. We have
