Answer:
A
Step-by-step explanation:
Draw an angle of 15° like this (∠) on a piece of paper, label this angle J, extend the base of the triangle and label the hypotenous 11cm (JK). Do you get the solution now? If no, here is an explanation.
This problem can be explained with sin law,
[Assume KL = 4cm]
(sin15)/4 = (sinL)/11
L = 45.4° or 135° (3 sig. fig.)
Since we got 2 possible case for the angle L, there are two possible set of triangles. Hope this will help you understand more about the problem, comment below if you still have any questions.
Answer:
B. 19
Step-by-step explanation:
g(x) = x^2+3
Let x=4
g(4) = 4^2 +3
= 16+3
=19
Hello there! I can help you! So, we are looking for the x and y-intercepts. Let's start off with x. The x-intercept is where the line intersects the x-axis, when y is 0. We will replace y as 0. So the equation becomes 0 = -½x - 3. What we do first is add 3 to each side. -3 + 3 cancels out. 0 + 3 is 3. That leaves 3 = -1/2x. Now, multiply each side by 2 to isolate the x. -1/2 * -2/1 cancels out. 3 * -2 is -6. There. x = -6
Now, we will plug in x as 0 to find the y-intercept. The equation becomes y = -½(0) - 3. We know that anything time 0 is 0. We will combine like terms by subtract 3 from 0 to get -3. There. y = -3. Here are your answers for each.
x-intercept: (-6, 0)
y-intercept: (0, -3)
Answer:
As Given △QRS is rotated about point P to △Q′R′S′ .
As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.
Out of the options given
→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.
→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.
are true.
Answer:
m = 7, m = -15
Step-by-step explanation:
The absolute value makes it so we can make two equations:
m + 4 = 11 and m + 4 = -11.
solve the equations:
m + 4 = 11
m = 7
and
m + 4 = -11
m = -15.