Answer:
△JKL ≅ △XYZ by HL congruency for right triangles
Step-by-step explanation:
If only given two sides and an uncontained angle, the triangles may not necessarily be congruent. However, since the given angle is a right angle, they are congruent.
When given that the hypotenuse and any "leg" of the right triangles are equal, the triangles are congruent.
Since one angle is 90°, the other two angles must be acute. This is unlike the ambiguous case when given an uncontained acute angle, where two possible triangles can be made by making another angle obtuse.
Imagine an isosceles triangle cut in half at the altitude, creating two right triangles (JKL and XYZ). They have the same angle measures. Each with a right angle, the angle that had an equal measure in the isosceles, and the unequal angle bisected. For the triangles' sides, the isosceles base was bisected by the altitude, and they have the same altitude.
Julius would have twelve marbles.
If 4 marbles is equal to 1/3, you multiply 3 by 3 to get 12.
Answer:
160pi
Step-by-step explanation:
the volume of a cylinder is found using the formula V=pi x r² x h. taking r=4 this means we have pi x 16 x10 =160pi
we have
![y > \frac{3}{4}x-2](https://tex.z-dn.net/?f=y%20%3E%20%5Cfrac%7B3%7D%7B4%7Dx-2)
using a graph tool
see the attached figure
The solution is the shaded area
<u>Statements</u>
<u>A The slope of the line is
.</u>
The statement is False
Because the slope of the line is equal to ![\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D)
<u>B The graph of
is a dashed line</u>
The statement is True
The graph of the inequality is a dashed line, because it has no equal signs in the problem
<u>C The area below the line is shaded</u>
The statement is False
Because The solution is the area above the dashed line
<u>D One solution to the inequality is
</u>
The statement is True
because
For
and ![y=0](https://tex.z-dn.net/?f=y%3D0)
substitute in the inequality
![0 > \frac{3}{4}*0-2](https://tex.z-dn.net/?f=0%20%3E%20%5Cfrac%7B3%7D%7B4%7D%2A0-2)
--------> the inequality is satisfied
<u>E The graph intercepts the y-axis at
</u>
The statement is True
see the attached figure
Answer:
156 is the answer because clearly there are 2 rectangles and the first is a 12 by 7 and the second one we have to figure that out but because the top is 12 and it says to take 3 off of each side you would get 6 and the l3 length is 12 so it would be 12 by 6 so yo uwould have to do 12 times 7 plus 12 times 6 and once you do that you would get 156