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Mathematics

1 answer:

kari74 [83]3 years ago

4 0

Answer:

Angle S

Step-by-step explanation:

The angle is always proportional to the opposite side. Angle opposite to the longest side has the largest angle so since Side RT is the shortest side, the angle opposite to it (or whatever the correct term is) would be Angle S.

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Which set of values for x makes the inequality 12−x<7 true

kozerog [31]

Answer:

$\{x:x>5\}$

Step-by-step explanation:

Given

$12 - x < 7$

Required

Values of x that make it true

First: solve the inequality.

$12 - x < 7$

Collect Like Terms

$- x < 7-12$

$- x < -5$

Multiply both sides by -1

$-1 * - x < -5 * -1$

$x > 5$ --- The inequality changes when multiplied by a negative value

So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)

Hence, the set is:

$\{x:x>5\}$

7 0

3 years ago

What is the value of x?

Greeley [361]

Answer:

x = 75

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.

A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{little}{big}$ .