Answer:
m∠2 = 140°
Step-by-step explanation:
m∠1 = m∠3, since they're vertical angles.
Solve for x:
Plug in 6 for x for either m∠1 or m∠3. Doesn't matter since they're equal.
m∠1 = (2(6) + 28)°
m∠1 = (12 + 28)°
m∠1 = 40°
Now that we know m∠1, we can now solve for m∠2.
m∠1 + m∠2 = 180°
40° + m∠2 = 180°
m∠2 = 140°
(74 + 78 + 70 + x) / 4 = 80
Divide each number by 4.
18.5 + 19.5 + 17.5 + x = 80
Add the numbers you know so far.
18.5 + 19.5 + 17.5 = 55.5
You need 24.5.
Now, since we divided all the others by 4, we have to multiply 24.5 by 4 to see what the exam score would be.
24.5 * 4 = 98.
To get an average of 80%, the student would need to get a 98 on their fourth exam.
<span>they appear to be using the (2x) as the variable;
so,
</span><span>e^(t) + t^2 ;
now fill in the interval [0,2x]
e^(2x) + (2x)^2 -e^(0)
D{t} [e(2x) +4x^2 - 1]
2e^(2x) + 8x</span>
Answer: 7 inches.
Given that there was a quadrilateral ABCD and it was reflected over a line y
Hence preimage = ABCD and image = TURS
When reflected we have new position of A = T
new position of B =U
new position of C = R and
new position of D = S
By transformation properties, for reflection the scale factor is 1 and hence AB will have the same length as TU
Since AB = 7 inches, TU = 7 inches.
Note:
A reflection in the coordinate plane is just like a reflection in a mirror. Any point or shape can be reflected across the x-axis, the y-axis, or any other line, invisible or visible. This line, about which the object is reflected, is called the “line of symmetry.” Here we have line of symmetry as line y.
<h2>
Explanation:</h2>
If you want to dilate an object you just need to enlarge or reduce the size of that object. In this way, the scale factor determines how much larger or smaller the object will become. So we know some facts:
- If this factor is greater than 1, the object will increase in size.
- if the factor is less than 1, the object will decrease in size.
One important thing is that the dilated object will be similar to its original. The missing figure is attached below. As you can see, when applying dilation the square ABCD is reduced in size to become the square A'B'C'D', thus the scale factor can be calculated as:
As you can see the factor is less than 1, so the object will decrease in size as we predicted.
