Answer:
Step-by-step explanation:
These come directly from my textbook, so I'm not sure if your teacher will accept this kind of work.
1. Angle construction:
Given an angle. construct an angle congruent to the given angle.
Given: Angle ABC
Construct: An angle congruent to angle ABC
Procedure:
1. Draw a ray. Label it ray RY.
2. Using B as center and any radius, draw an arc that intersects ray BA and ray BC. Label the points of intersection D and E, respectively.
3. Using R as center and the same radius as in Step 2, draw an arc intersecting ray RY. Label the arc XS, with S being the point where the arc intersects ray RY.
4. Using S as center and a radius equal to DE, draw an arc that intersects arc XS at a point Q.
5. Draw ray RQ.
Justification (for congruence): If you draw line segment DE and line segment QS, triangle DBE is congruent to triangle QRS (SSS postulate) Then angle QRS is congruent to angle ABC.
You can probably also Google videos if it's hard to imagine this. Sorry, construction is super hard to describe.
Answer:
Step-by-step explanation:
That is the area of a trapezoid
A=h(b1+b2)/2
We are given everything but the height so
h=(2A)/(b1+b2), now using the values given to us we have
h=(2(15))/(2+3)
h=30/5
h=6
First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that t<span>he sum of three consecutive even integers is </span>
<span>, therefore, you can given the variable </span>
<span> to the first integer, the second even integer is </span>
<span> and the third one is </span>
<span>.
2. Calculate x:
</span>
<span>
</span>
<span> </span>
<span>
</span>
<span>
</span>
<span>
Therefore, the answer is:</span>
Answer:
Yes, (6, -2) is a solution.
Step-by-step explanation:
See if it is a solution by plugging in the x and y values into the inequality. If it makes the inequality true, it is a solution. If it makes it false, it is not a solution.
6x - 4y > 24
6(6) - 4(-2) > 24
Simplify:
36 + 8 > 24
44 > 24
This is true, meaning that (6, -2) is a solution to the inequality.
Yes, (6, -2) is a solution.
Positive 6.8, because when numbers are next to each other with a parathesis being the only thing between them, all you have to do is multiply. Because they are both negative as well they'll cancel out or make the product/answer positive.
