Answer:
Step-by-step explanation:
The first answer choice is correct i ma 100% sure
Answer:
a) -15, -8, -3.3, 8/9
Step-by-step explanation:
b) 8/9, -3.3(And I say its -3.3, because you need to write it in its original form.), so far its 8/9, -3.3, -8, -15.
c) Because the absolute value is the positive value of that number. (i.e, -3 is 3 places away from 0, so it's absolute value would be 3.)
Answer:
-2.44
Step-by-step explanation:
Is a right angle triangle
We apply SOHCAHTOA
SOH is sin=Opposite divided by Hypotenuse
CAH is cos=Adjacent divided by Hypotenuse
TOA is tan=Opposite divided by Adjacent
so in this case,cos is the right thing to use
Therefore,x=adjacent
15=Hypotenuse
angle=52°
Cos(52)=x÷15
making x the subject,
x=15cos(52)
x= -2.44
A dilation means that a shape is expanded or shrunk by a scale factor. The scale factor is 4, so all the points are multiplied by 4 to reflect this expansion.
A reflection over the y-axis means that the y-values in the points change their sign from positive to negative, and vice versa.
Therefore, the points will become the following:
A''(12,-12), B''(-4, -12), C''(-16,-4), D''(0, -4)
This new shape will be similar to the original shape, since it shares the same shape, but not the same size.
The answer is A.
Answer/Step-by-step explanation:
Given:
m<EFH = (5x + 1)°
m<HFG = 62°
m<EFG = (18x + 11)°
Required:
1. Value of x
2. m<EFH
3. m<EFG
SOLUTION:
1. Value of x
m<EFH + m<HFG = m<EFG (angle addition postulate)
(5x + 1) + 62 = (18x + 11)
Solve for x using this equation
5x + 1 + 62 = 18x + 11
5x + 63 = 18x + 11
Subtract 18x from both sides
5x + 63 - 18x = 18x + 11 - 18x
-13x + 63 = 11
Subtract 63 from both sides
-13x + 63 - 63 = 11 - 63
-13x = -52
Divide both sides by -13
-13x/-13 = -52/-13
x = 4
2. m<EFH = 5x + 1
Plug in the value of x
m<EFH = 5(4) + 1 = 20 + 1 = 21°
3. m<EFG = 18x + 11
m<EFG = 18(4) + 11 = 72 + 11 = 83°
