We are given traingle ABC and Triangle DEF.
Angle <A is congruent to Angle <D
Angle <B is congruent to Angle <E
Angle <C is congruent to Angle <F.
If two pairs of corresponding angles are congruent to each other, then the triangles are similar by Angle-Angle Similarity.
<em>By Angle-Angle similarity postulate triangle ABC and triangle DEF are similar.</em>
Therefore, option C is correct option.
<h3>
C. Similar - AA.</h3>
The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.
That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:
10 = 2(8) + b We need to solve for b.
10 = 16 + b
b = -6
Answer:
x = 3
Explanation:
15x + 5 + 22x + 4 + 60 = 180
37x + 69 = 180
37x = 111
x = 3
Im gonna guess 6.00 beacause it says round to hundreths
Given:
4x + 7 = 23
Let's solve for x.
First Step:
Subtract 7 from both sides
4x + 7 - 7 = 23 - 7
4x = 16
Next Step:
DIvide both sides by 4

ANSWER:
x = 4