Answer:
Answer: The answer is option B.
Step-by-step explanation:
Here,
We have,
So, it's true; and it lies in quadrant 1 and 4.
The reason according to the "CAST" rule cos theta is in 1st and 3rd quadrant cos theta is positive.
Giving brainliest to first correct answer
1 answer:
Answer:
C
Step-by-step explanation:
The area of a rectangle is lw or length * width.
We can add the parts to make up the whole of each side.
Thus, for the entire width, we have 4x+3 and for the entire length we have 8 + 5x.
To solve for area in terms of x, we just multiply our width and length, which gives us:
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Given coordinates of the triangle RST are R(2,1), S(2,-2) and T(-1,-1).
Center of center of dilation is (2,-2).
Because center of dilation is (2,-2) so the coordinates of dilated image S(2,-2) would stay same.
Now, we need to apply rule for dilation with the scale factor 5/3.
<em>Each of R(2,1), and T(-1,-1) would be and R' and T' would be in ratio 5/3.</em>
<em>We will extend RS to 5 units and TS also 5 units.</em>
The new resulting image would be dilated triangle by a scale factor 5/3.
New coordinates would be
R'(2,3), S'(2,-2) and T'(-3,-2)
Answer:
The measure of the first angle is 50°.
Step-by-step explanation:
Let the three angles be <em>a, b, </em>and <em>c. </em>
<em />
The measure of the first angle is twice the measure of the second angle. In other words:
The measure of the third angle is 80° more than the measure of the second angle. In other words:
And since the interior angles of a triangle must equal 180°:
Substitute <em>a</em> and <em>c: </em>
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Combine like terms:
Subtract 80 from both sides:
And divide both sides by four:
So, the measure of the second angle is 25°.
Since the measure of the first is twice the second, the measure of the first angle is 50°.
(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)