Step-by-step explanation:
1) the rule: m∠1+m∠2+m∠3=180°;
2) according to the rule above: m∠P+m∠Q+m∠R=180°;
x+x+43+2x-15=180°; ⇔ 4x=152°; ⇒ <u>x=38°</u>;
3) the angles: P=2x-15=<u>61°;</u> Q=x+43=<u>81°</u>; R=x=<u>38°</u>.
Answer:
4
Step-by-step explanation:
2^4 - (2^3 +2^2)
Exponents
16 - (8+4)
Parentheses
16 - (12)
Subtract
4
Hey there! :)
Answer:
y = 1/4x - 3.
Step-by-step explanation:
Use the slope-formula to find the slope of the line:
Plug in two points from the line. Use the points (-4, -4) and (0, 3):
Simplify:
m = 1/4.
Slope-intercept form is y = mx + b.
Find the 'b' value by finding the y-value at which the graph intersects the y-axis. This is at y = -3. Therefore, the equation is:
y = 1/4x - 3.
Answer: $0.03
The answer would be 0.03355704697, but round.
Answer:
y= 14
Step-by-step explanation:
Given that AC= BC, △ABC is an isosceles triangle.
∠CBA= ∠CAB (base ∠s of isos. △)
∠CBA= 50°
∠ACB +50° +50°= 180° (∠ sum of △ABC)
∠ACB +100°= 180°
∠ACB= 180° -100°
∠ACB= 80°
Given that ∠ACB= (5y +10)°,
(5y +10)°= 80°
5y +10= 80
5y= 80 -10 <em>(</em><em>-10</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
5y= 70 <em>(</em><em>simplify</em><em>)</em>
y= 70 ÷5 <em>(</em><em>÷</em><em>5</em><em> </em><em>throughout</em><em>)</em>
y= 14