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ratelena [41]
3 years ago
5

Please help me with this question

Mathematics
1 answer:
BartSMP [9]3 years ago
4 0

Answer:

3x-28=2x+25\\x=53

Step-by-step explanation:

Parallel lines cut by a transversal are two lines which do not cross intersected by a third line. Because lines such as m and n are parallel, we have angles which are equal to each other.

  • Corresponding Angles - angles located in the same position in each intersection. Can be shown by translating or sliding the angle down/up.
  • Alternate Interior Angles - angles located inside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
  • Alternate Exterior Angles - angles located outside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
  • Vertical angles - angles across a vertex from one another. Can be shown by reflection.

The angles shown here are located outside the parallel lines and across the transversal from each other. Therefore we have Alternate Exteroir angles and can set them equal to each other to solve for x.

3x-28=2x+25\\3x-2x-28=2x-2x+25\\x-28=25\\x-28+28=25+28\\x=53

We check our work and should get equal angles:

3(53)-28=2(53)+25\\159-28=106+25\\131=131

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A circle has An area of 36 pi square inches which best represents the circumference of the circle.
kkurt [141]

Answer: 12πins.

Step-by-step explanation:

Since the area if a circle = πr²

From the question

Area of the circle = 36πins²

To find the circumference of the circle, we need to find the common radius of the circle and this could be achieved from the area of the circle given above.

πr² = 36π, solving this gives. Divide through by π

r² = 36

r = +/-√36

= +/-6

Now to find the circumference of the circle, we substitute for r in the formula below.

Circumstances = 2πr

= 2 ×π × 6

= 12πins.

4 0
3 years ago
Which expression can be used to determine the average rate of change in f(x) over the interval mc001-1.jpg
Mrac [35]
The average rate of change of a function f(x) over an interval (a, b) is given by
\frac{f(b)-f(a)}{b-a}

Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
\frac{f(9)-f(2)}{9-2}
8 0
3 years ago
Read 2 more answers
I need help QUICKLY on this algebra question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Luda [366]

Answer:

x = -1

Step-by-step explanation:

to find axis of symmetry, use the following equation:

x = -b/2a

in this problem, a = 3, b = 6, c = -12

x = -6/2(3)

x = -6/6

x = -1

8 0
2 years ago
C
Volgvan

The arc angle AC is measured as 55 degrees.

<h3>How to find arc angle?</h3>

If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.

Therefore, the secants intersect outside the circle at point E.

The arc angle AC can be found as follows:

Therefore,

m∠BED = 1 / 2 (arc angle AC - arc angle BD)

arc angle AC = x

arc angle BD = 23 degrees.

m∠BED = 16 degrees.

m∠BED = 1 / 2 (arc angle AC - arc angle BD)

16 = 1 / 2 (x - 23)

16 = 1 / 2x - 23 / 2

16 + 11.5 = 0.5x

27.5 = 0.5x

x = 27.5 / 0.5

x = 55 degrees.

Therefore,

arc angle AC = 55 degrees.

learn more on arc angle here: hhttps://brainly.com/question/23117081

#SPJ1

7 0
1 year ago
If the subject without diabetes eats a high-carb food such as the candy bar or orange smoothie, then the blood glucose levels wi
zysi [14]

Answer:

1. The right answer is stay the same.

In a healthy subject, a diet rich in sugar (such as starch and fast sugars) increases blood sugar in the first two hours after ingestion and then stabilizes after the third hour with the action of the patient. insulin which has a hypoglycemic action. But over time the pancreas (the organ that secretes insulin) will get tired over time if these foods are eaten excessively.

2. The right answer is stay the same.

In a healthy person, a diet of low-sugar foods (such as fiber) does not increase blood glucose (or very little) and helps maintain normal blood glucose levels. These foods are good for the health because they preserve the pancreas as long as there is not much solicitude by the presence of a hause of glucose in the blood.

3. The right answer is increase.

In a type 1 diabetic patient, the pancreas does not secrete insulin appropriately, and this is due to self-destruction of the organ by the immune system (autoimmune disease). This implies that during the ingestion of foods rich in sugars, the blood sugar will be hard to regain its normal level, that is why it remains elevated after three hours after ingestion.

4. The right answer is stay the same.

Foods low in carbohydrates are very good for the health and is recommended in the subjects diabetic (type 1 and 2) and even for the healthy subjects to avoid the appearance of the diabetes afterwards. These foods help diabetics to have controlled blood glucose levels when their degradation does not give glucose.

6 0
3 years ago
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