Answer:
- EF = 4.1
- DE = 9.1
- m∠F = 66°
Step-by-step explanation:
The hypotenuse and one acute angle are given. The relevant relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
__
For the given triangle, these tell us ...
sin(24°) = EF/DF = EF/10
EF = 10·sin(24°) ≈ 4.1
and ...
cos(24°) = DE/DF = DE/10
DE = 10·cos(24°) ≈ 9.1
The remaining acute angle is the complement of the given one:
F = 90° -D = 90° -24°
∠F = 66°
Answer: 23(1/4)
Step-by-step explanation: this is the answer you can star resolving the equation into the parenthesis
(3/6)² + 7 *4 - 5
if we elevate to the power of 2 the values into the parenthesis, we get the following equation.
(9/36) + 7*4 -5
after this we follow with the values into the parenthesis, if you divide 9 over 36 we get the following result
9/36 = 0.25
then we get the following equation
0.25 +7*4 - 5
after that we can resolve the multiplication getting the following equation
0.25 +28 - 5
then if we resolve the subtraction, we will get this result.
28-5 = 23
then we have 0.25 + 23 this equation is equal to 23.25
if you follow the answer will be one with 23, then we get the possible results, if you divide 1/4=0.25
then we get that the result is
23(1/4)
Answer:
3 = 95, 4 = 85, if a and b are parallel
Step-by-step explanation:
x > -1
-2x+5 < 7
-2x<2
Now since you divide by (-1) to get positive 2,you need to flip the sign
(-2)/(-1)= 2 2/(-1)=-2
SO
2x>-2
x > -1
To check the solution do not replace the x by -1 because it shouls be more than -1 (You can choose 0,1,2,3....)
Example choose x=3
-2x3+5<7
-6+5<7
-1<7
Answer:
C
Step-by-step explanation:
We are given that FGH is a triangle, which means that...
Angle F + Angle G + Angle H = 180
Start by substituting the given angle measurements into the equation:
4x+2+13x-7+3x+5=180
Combine like terms
20x=180
Divide both sides by 20 to isolate x
x=9
Plug 9 back in for x to solve for each angle
Angle F = 4(9)+2=36+2=38
Angle G = 13(9)-7=117-7=110
Angle H = 3(9)+5=27+5=32
