Answer:
m∠U = 54°
m∠T = 72°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:
m∠S = m∠U
m∠S = 54°
m∠U = 54°
All angles in a triangle add up to 180°:
m∠S + m∠U + m∠T = 180°
54° + 54° + m∠T = 180°
108° + m∠T = 180°
m∠T = 72°
Answer:
x = -0.683 (3dp)
x = -7.317 (3dp)
Step-by-step explanation:
<u>Step 1: Apply the quadratic formula</u>
(-b±(
)) / 2a
a = 1 <em>(x²)</em>
b = 8 <em>(8x)</em>
c = 5 <em>(5)</em>
(-8±(
)) / 2 x 1
<u>Step 2: Simplify</u>
(-8±(
)) / 2
<u>Step 3: Solve</u>
You need to replace the ± with first a + and then a -.
(-8+(
)) / 2 = -0.683 (3dp) = x
(-8-(
)) / 2 = -7.317 (3dp) = x
Hope this helps!
Here is a function rule that produces an output of 7 for an input of 1.6
f(x) = x + 5.4
when x = 1.6, f(x) = 1.6 + 5.4 = 7
Answer:
x=0.00784
Step-by-step explanation:
Answer:
x = - 
Step-by-step explanation:
Given
(x + 5
) = 
Multiply both sides by 8 to clear the fractions
6(x + 5
) = 5 ← distribute parenthesis on left side
6x + 33 = 5 ( subtract 33 from both sides )
6x = - 28 ( divide both sides by 6 )
x =
= - 