Answer:
t=100
Step-by-step explanation:
The easiest way is to graph them—otherwise, set each equation equal to each other:
.1x=.05x +5
Answer:
C. y = -2x + 3
Step-by-step explanation:
The equation of a line in slope-intercept form is given as y = mx + b.
m = slope, while b = y-intercept.
We already know that the slope, m, = -2.
We are given a point also as (0, 3). This means, at x = 0, y = 3.
Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.
Thus,
Slope (m) = -2,
y-intercept (b) = 3
Plug these values into y = mx + b
✅The equation of the line in slope-intercept form would be:
y = -2x + 3
Answer:
m∠J = 67°
m∠T = 67°
m∠G =46°
ST = 5cm
HJ = 3.7cm
Step-by-step explanation:
Given
- GH = 5 cm = GJ
- m∠GHJ = 67°
=> m∠J = 67° ( that is the property of isosceles triangle because GH = GJ
=> m∠G = 180° - m∠H - m∠J = 180° - 67° - 67° = 46°
=> GH = GJ = ST =SU
=> ST = 5 cm
- Because ΔGHJ ≅ ΔSTU and GH = GJ = ST =SU
=> TU = HJ = 3.7 cm
=> m∠T = m∠H = 67°
So:
m∠J = 67°
m∠T = 67°
m∠G =46°
ST = 5cm
HJ = 3.7cm
Answer:
8 - 
Step-by-step explanation:
For this problem you have to use the 45-45-90 triangle theorem and 30-60-90 theorem.
For 45-45-90, the isosceles sides = 4, so the hypotenuse of the 30-60-90 triangle is 4 times 2, which is 8. If x is 8, then since y is the side across from the 60 angle, y is 
. Since this really can't be simplified after y is subtracted from x, the final answer is just 8 - .
Answer:
2nd one
Step-by-step explanation:
Yes; the corresponding sides are proportional
