Answer:
Angle Z =79° and x = 31.33
Step-by-step explanation:
From the shown parallel and intersecting lines , it is found that,
∠z° = 79° interior angle on same side of transversal
and ∠z = (6x - 109°) corresponding angles
i.e 79°+109°= 6x
or, 188 = 6x
i,e x = 31.33
Hence angle z =79° , and x = 31.33
Here we want to see which one of the given graphs is the one with the correct relationship between distance in centimeters and meters. We will see that the correct option is the first graph.
<h3>Working with changes of scale.</h3>
So we know that each centimeter on the map must represent 4 meters in reality, this is a change of scale, so the scale is:
1cm = 4m
First, this relation is linear (each centimeter will always be equal to 4 meters) so the two bottom options that are not linear can be discarded, so we only have the first and second graph.
If you read them, you can see that in the second one 1 meter is equivalent to something near 5 cm, so this is also incorrect.
The only graph that shows a correct scale is the first one, where for each increment of 1 unit on the horizontal axis (the one in centimeters) we have an increase of 4 m (estimated). This means that 1cm = 4m, as in our change of scale.
So the correct option is the first graph.
If you want to learn more about changes of scale, you can read:
brainly.com/question/9302261
To simplify to their equation on <span>3(x+1)+9 and the answer is =3x+12.
Answer will be bolded.
Have a great day.
-Charlie</span>
Simply substitute the point into the given equation; as there is one variable, you only need one point and so one is given. When done so, you shall get b=4
To do this we use FOIL method, this method calls for 2 parenthesis and 4 expressions, which is what we have here, how FOIL works is (multiplying):
First with first
Outer with outer
Inner with inner
Last with last
So always follow this method when you have a situation like this so,
F: 4d² (d * 4d)
O: -3d
I: 8d
L: - 6
So the full expression would be: 4d² - 3d + 8d - 6
If you have any question, please ask me, good luck!
