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shusha [124]
3 years ago
10

Quadrilateral ABCD ​ is inscribed in a circle.

Mathematics
1 answer:
Lerok [7]3 years ago
6 0
In general, the sum of the measures of the interior angles of a quadrilateral is 360. This is true for every quadrilateral. This does not help here, because there are two angles (angles B and D) we know nothing about. We only know about opposite angles A and C.

In this case, you can use another theorem.
Opposite angles of an inscribed quadrilateral are supplementary.

m<A + m<C = 180

3x + 6 + x + 2 = 180

4x + 8 = 180

4x = 172

x = 43

m<A = 3x + 6 = 3(43) + 6 = 135

Answer: 135 deg
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Consider two bases B = {b1, b2, b3} and C = {c1, c2, c3} for a vector space V such that
Helen [10]
I’m a failure if you can just say “yes you are” in the comments
3 0
3 years ago
-x+y=5 4x+y=10 Use addition to solve the linear system of equations. Include all of your work in your final answer
kari74 [83]
Answer:
x = 1
y = 6

Explanation:
The first given equation is:
-x + y = 5
Multiply this equation by -1, you will get:
x - y = -5 ............> I

The second given equation is:
4x + y = 10 ..........> II

Add the two equations I and II as follows:
    x   - y = -5
+  4x + y = 10
..............................
    5x        = 5
Therefore:
x = 5/5
x = 1

Substitute with x in equation I to get y as follows:
x - y = -5
1 - y = -5
y = 1 + 5
y = 6

Hope this helps :)
3 0
3 years ago
Write the product as the product of a whole number and unit fraction <br> 2x4/5=
Nimfa-mama [501]

Answer:

1 \frac{3}{5}

Step-by-step explanation:

The first step is to multiply the numbers of the numerator. Thus:

\frac{2 \times 4}{5}

=  \frac{8}{5}

Writing the answer above as the product of a whole number and unit fraction (that is, mixed number), 5 goes in 8 1 time remainder 3. Therefore:

=  \frac{8}{5}  = 1  \frac{3}{5}

4 0
4 years ago
Homework kills guys, please help
Kazeer [188]

Answer:

The correct answer is in bold below written in two different ways. I think that the two middle options of your problem were given by mistake. The correct answer is not in the options.

Step-by-step explanation:

cost of yogurt = cost of toppings + cost of yogurt with 1 topping

cost of yogurt with 1 topping = $3.65

cost of yogurt = cost of toppings + 3.65

cost of 1 additional topping = $0.45 * 1

cost of 2 additional toppings = $0.45 * 2

cost of x additional toppings = $0.45 * x = 0.45x

Since 1 topping is included in the $3.65 charge, if you pay for x additional toppings, you will have x + 1 total number of toppings. That means you must pay for only x - 1 additional toppings to have a total of x toppings.

One topping is already included in the $3.65 charge, so you pay for only x - 1 additional toppings.

cost of x - 1 additional toppings = 0.45(x - 1)

cost of yogurt = 0.45(x - 1) + 3.65

y = 0.45(x - 1) + 3.65

y = 0.45x - 0.45 + 3.65

y = 0.45x + 3.2

8 0
3 years ago
When Amy roller-skates, she moves 110 yards per minute. What is her speed in miles per hour? Round your answer to the nearest hu
Softa [21]

Answer:

Speed of Amy is 3.75 miles per hour.

Step-by-step explanation:

We have, speed of Amy = 110 yards per minute

This means, she covers 110 yards of distance in 1 minute.

Now, to convert the speed of Amy into miles per hour, we will first convert the distance from yards into miles and then convert time from minutes to hour.

We know that,

  1 yard = 3 feet

∴ 110 yards = 3 × 110 feet = 330 feet

Now, we also know that,

 5280 feet = 1 mile

∴ 1 feet = \frac{1}{5280} miles

So, 330 feet = \frac{1}{5280}\times330 = \frac{1}{16} miles

∴ 110 yards = 330 feet = \frac{1}{16} miles

Now, 60 min = 1 hr

∴ 1 min = \frac{1}{60} hrs

So, 110 yards = \frac{1}{16} miles and 1 min = \frac{1}{60} hr

So, we can say that, Amy covers a distance of \frac{1}{16} miles in

\frac{1}{60} hr.

We know that,

speed=\frac{distance}{time}

speed=\frac{(\frac{1}{16}) miles}{(\frac{1}{60})hr}

speed=\frac{60}{16} miles/hr = 3.75 miles/hr

Therefore, the speed of Amy in miles/hr is 3.75 miles/hr.

8 0
4 years ago
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