629g < box + cereal < 633g
629g - 5g = 624g
633g - 5g = 628g
Answer: a. 624 < x < 628
Answer:
5, 6, 7
Step-by-step explanation:
In order to solve for the three integers, we can assign a variable and set up an equation:
first integer: x
second integer: x + 1
third integer: x + 2
Given that 'the product of the first and third integer is 17 more than 3 times the second integer':
x(x + 2) = 3(x + 1) + 17
Distribute: x² + 2x = 3x + 3 + 17
Combine like terms: x² - x - 20 = 0
Factor: (x - 5)(x + 4) = 0
Set them equal to '0' and solve:
x - 5 = 0 x + 4 = 0
x = 5 x = -4
Since the problem asks for positive integers, x must equal 5:
first = 5
second = 5 + 1 = 6
third = 5 + 2 = 7
The only possible methods for determining if the triangles are congruent is SAS, SSS, ASA, AAS, RHS
So you know what answers you can eliminate.
It tells you CA bisects angle BAD. "Bisect" means cut in half equally, so you know that angle CAB and angle CAD is the same. This is angle proof.
Something seems to be cut off from the picture. Depending on what it tells you (for example line xx = line xx), you can figure out the answer.
Answer:
60
Step-by-step explanation:
y = k/x ( as y is inversely proportional to x)
yx = k
--> k = yx
k = (6)(10)
k = 60
Enjoy it. I hope it will help you.
The angle bisector QS is constructed using arcs of the same width
intersecting above the segment joining equidistant point from <em>Q</em>.
<h3>Correct Response;</h3>
- <u>c. ∠AQS ≅ ∠BQS when AS = BS and AQ = BQ </u>
<h3>Reasons why the selected option is correct;</h3>
The steps to construct an angle bisector are as follows;
- Draw an arc from the vertex of the angle, <em>Q</em>, intersecting the rays forming the angle, QP and QR, at points A and B respectively.
- From points <em>A</em>, and <em>B</em>, draw arcs having same radii to intersect between the rays QP and QR at point <em>S</em>.
- Join the point of intersection of the small arcs at <em>S</em> to <em>Q</em> to bisect the angle PQR.
The reason why Ben uses the same width to draw arcs from <em>A</em> and <em>B</em> is as follows;
The point <em>A</em> and <em>B</em> are equidistant from point <em>Q</em>, therefore, point <em>Q</em> is point of intersection of arcs of radius AQ = BQ drawn from <em>A</em> and <em>B</em>.
Similarly point <em>S</em> is the point of intersection of arcs AS = BS from points <em>A</em> and <em>B</em>.
Which gives that the line QS is the perpendicular bisector of the segment AB, where ΔABQ is an isosceles triangle, therefore, QS bisects vertex angle ∠PQR.
Therefore, the correct option is the option c.;
- <u>c. ∠AQS ≅ ∠BQS when AS = BS and AQ = BQ</u>
Learn more about angle bisector here:
brainly.com/question/21752287
