9514 1404 393
Answer:
x = 19
A = 30°
B = C = 75°
Step-by-step explanation:
In an isosceles triangle, the angles opposite the congruent sides have the same measures.
A = B
3x +18 = 7x -58
76 = 4x . . . . . . . . add 58-4x
19 = x . . . . . . . . . divide by 4
Then the equal angles measure ...
A = B = 3(19) +18 = 75
C = 2(19) -8 = 30
Angles A, B, C measure 75°, 75°, 30°, respectively.
_____
<em>Alternate solution</em>
The sum of angles in a triangle is 180°, so you could write ...
(3x +18) +(7x -58) +(2x -8) = 180
12x = 228 . . . . . add 48
x = 19 . . . . . divide by 12
Answer:
Triangle P and Triangle Q are mathematically similar shapes (?).
Step-by-step explanation:
Hi, so the question asks which statement is true, given the following information, but you haven't written what statements we can choose from.
After reading the information, we can see that Triangle Q is the same shape as Triangle P but just larger.
I'm assuming that one of the statements given is about Triangle P and Triangle Q being mathematically similar shapes?
If you need to show your working out, here it is:
18 ÷ 6 = 3
24 ÷ 8 = 3
30 ÷ 10 = 3
All the angles are the same.
This means that the length scale factor is +3 from Triangle P to Triangle Q, the area scale factor is +9 (because 3 x 3 = 9) from Triangle P to Triangle Q, and that the two shapes are mathematically similar.
*DISCLAIMER* The majority of question askers on Brainly seem to be from the US, and I'm not, so the way I work things out / the mathematical terms I use might be different. Sorry!
Hope this helped anyway!
Bluey :)
first, we can find the slope from the equation that is given buy solving the equation for y
3x+2y = 6
2y = 6-3x
y = 3-3/2x
y = -3/2x+3
now that the equation is in slope-intercept form, we can easily see that the slope of the given line is -3/2
perpendicular lines have slopes that are negative reciprocals, so we can just take the negative reciprocal of the slope we have
-3/2 → 3/2 → 2/3
the slope of the perpendicular line is 2/3
hope this helped
i think the answer is linear I am not sure though
