Cassandra’s ruler is 22 centimetres long. April’s ruler is 30 centimetres long. How many centimetres longer is April’s ruler

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What is the measure of the vertex angle in the next triangle in the pattern?4 isosceles triangles in a row, each smaller than the one before. The first has base angles 89 degrees and vertex angle 2 degrees, the second has base angles 88 degrees and vertex angle 4 degrees, the third has base angles 87 degrees and vertex angle 6 degrees, and the fourth has base angles 86 degrees and vertex angle 8 degrees,

Not to scale

vertex angle =

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Answer:

The measure of the vertex angle of the next isosceles triangle is 10°

Step-by-step explanation:

The given information are;

The first isosceles triangle; Base angles = 89°, vertex angle = 2°

The second isosceles triangle; Base angles = 88°, vertex angle = 4°

The third isosceles triangle; Base angles = 87°, vertex angle = 6°

The fourth isosceles triangle; Base angles = 86°, vertex angle = 8°

The vertices of the isosceles triangles form a arithmetic projection, with a common difference of 2°

Therefore, the vertex for next isosceles triangle = 8° + 2° = 10°

The base angles are derived from the sum of interior angles of a triangle which is 180°

Which gives;

2 × Base angles + Vertex angle = 180°

2 × Base angles + 10° = 180°

2 × Base angles = 180° - 10° = 170°

Base angles = 170°/2 = 85°

Base angles of the fifth isosceles triangle = 85°

From which we have;

The fifth isosceles triangle; Base angles = 85°, vertex angle = 10°

The measure of the vertex angle of the next (fifth) isosceles triangle = 10°

I don't know what to do

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ok so I will tell answers from left to right column (1st column is leftmost, 4th column is rightmost)

 
1st collumn is starting with 4 and going up by 4 each time so the blanks in the first column are 4,8,20

2nd collumn is starting with 11 and going up by 11 each time so the blanks in the second column are 11, 33

3rd column is staring with 5 and going up by 5 every time so the blanks in the third column are 5,10,20

4th column is starting with  7 and going up by 7 every time so the blanks in the fourth column are 7, 28, 42





the ratios are
part 1. 4:11
part 2. 5:7

Combine like terms: 3t + 5 (3 + t) - 2t - 4

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3t + 15 + 5t - 2t - 4
6t + 15 - 4
6t + 11


first you will distribute the 5 to(3+t)

So it will be     3t+15+5t-2t-4

then you will add 3t and 5t and -2t together

So you get      6t+15-4

Lastly you will do 15-4

 So you get     6t+11

That's the answer     6t+11

Please help me with these questions!!! I really need help :)

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Rectangular prism
V = 12*8*4 = 384 in^3

Triangular prism
V = 0.5*3*15*16 = 360 ft^3

What is the name for a statement that shows two expressions are epual?

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Answer:

equation

Step-by-step explanation:

I need help with this last question and then I'll submit my test! please help in full explanation!​

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Answer:

Brianna is right. The quotient is in the hundreds place ,because the first digit is 2 spaces to the left from the comma/period ,thus we know it's a hundred