5elect the correct answer

Bad White [126]

angles across each other at a junction, namely vertical angles, are equal.

so the angles right in the middle, where both triangles intersect, are both equal, that means the triangles have that angle in common as well as the angle x°, meaning both triangles are similar by AA.

if both triangles are similar, that means all their interior angles are the same, meaning y = 75°.

now, let's notice something, those tickmarks, meaning each triangle is an isosceles triangle, which have a vertex angle and twin angles.

since all interior angles in a triangle add up to 180°, so 180 - 75 = 105°, subtracting "y" from the 180°, that leaves 105°, to be split evenly between the twin angles of "x" and the one at the junction.

105/2 = 52.5° = x.

3 0

4 years ago

8) Solve using the Quadratic Formula. x2 + 3x - 5 = 0

maks197457 [2]

Step-by-step explanation:

$x^{2} + 3x - 5$

For any quadratic equation $ax^{2} + bx + c = 0$ , the quadratic formula is as follows:

$\frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$

From the given quadratic equation, we know that $a = 1$ , $b = 3$ and $c = -5$ . Plugging in these values into the quadratic formula gives us the following:

$\frac{-(-3) \pm \sqrt{(3)^{2} - 4(1)(-5)}}{2(1)}$

$\frac{3 \pm \sqrt{9 + 20}}{2}$

$\frac{3 \pm \sqrt{29}}{2}$

6 0

3 years ago

What is the value of -2(x + 5)? A. x + 10 B. x - 10 C. -2x - 2 D. -2x - 10

umka21 [38]

Answer:

D

Step-by-step explanation:

Use the distributive property to multiply both x and 5 by -2:

-2(x + 5) = -2x - 10

4 0

3 years ago

Read 2 more answers

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x

Virty [35]

Answer:

A Is congruent to B and B Is congruent to C

Step-by-step explanation:

Let's look at the answer choices:

A: "A Is congruent to B and B Is congruent to C"

Well, clearly, if A ≅ B and B ≅ C, then by the transitive property, we can say that A ≅ C. So, A is very likely correct.

B: "A Is congruent to A, B Is congruent to B, C Is congruent to C"

Just because A is congruent to itself (and same with B and C) doesn't necessarily mean that they're congruent to each other. So, B is wrong.

C: "Each triangle is a right triangle."

Again, there are so many right triangles out there with different dimensions. For example, there are some with sides 3, 4, and 5, and others with sides 5, 12, and 13. They are not congruent, however. So, rule out C.

D: "Each triangle is an isosceles triangle."

This is just like choice C since there are so many variations of isosceles triangles. So D is wrong.

The answer is thus A.

5 0

4 years ago

Read 2 more answers

Sylvie finds the solution to the system of equations by graphing. y = x + 1 and y = x – 1 Which graph shows the solution to Sylv

jok3333 [9.3K]

The solution is undefined, the function is parallel. Also the two functions are lunar functions, mx+b=y.
M= slope
B=y-intercept (where it crosses the y-axis)

7 0

3 years ago