Hi!
You can find the value of x by the fact that as triangle CBE and CKE are congruent. The reason you can see the triangles are congruent is because of the AAS congruence postulate, where if two angles are the same and a non included side are congruent, the triangles are similar. In this case, angle CKE and angle CBE, are congruent, and CEB and CEK are congruent as well. (They're marked out as congruent.) The line CE is congruent to the other CE in the other triangle, because they are the same line.
Since you know the triangles are congruent, according to CPCTC (corresponding parts in congruent triangles are congruent), and line CK is congruent to line CB, line CK is congruent to CB, and has the same measure.
Therefore, you can set the measures of CB (5x - 3) and CK (3x + 1) equal to another and solve for x.
5x - 3 = 3x + 1
5x -3 + 3 = 3x + 1 + 3
5x = 3x + 4
5x - 3x = 3x - 3x + 4
2x = 4
2x / 2 = 4/2
x = 2, or choice C.
Hope this helps!
I think the answer it’s 15 in not 100% sure tho
122/11= 11.09 or 11.1 depending on how you like to round numbers
To determine the slant height, you will use what you know about surface area of a pyramid.
The surface area of a square Peerman consists of one square, and four congruent triangles.
We know the length of one side on the square base is 18 inches.
The area of the base then would be 324 in.².
Subtract this from the total surface area.
864-324 = 540 in.²
Divide 540 in.² by 4 because there are four congruent triangles.
540/4= 135 in.²
Each triangle is 135 in.². Now use the formula for area of a triangle to solve for the missing slant height.
A = 1/2 x b x h
135 = 1/2 x 18 x h
135 = 9h
h = 15 inches.
The slant height is 15 inches.
Answer:
4:5 or 4 over 5.
Step-by-step explanation:
Depending on the way the problem is communicated, your first listed item is usually on the top, while your second is placed on the bottom, in the case of a fraction. In the case of a colon, the left is your first unit and the right is your second.
