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Svetach [21]
3 years ago
5

Line segements AB and CB intersect outside of the circle P as shown. What is the value of x? A.11/4 B.8 C.2 D. 9/2

Mathematics
1 answer:
Aleks [24]3 years ago
7 0
They answer is A because when you solve it it will give you A
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4 Riley finds a recipe for bubble solution that uses 1 cup water, 2 cup dish soap,
Arada [10]

Answer:

1 cup

Step-by-step explanation:

the recipe calls for one cup of water per two cups of dish soap, so if she uses two cups of dish soap she should use one cup of water and one tablespoon of corn syrup.

4 0
3 years ago
7 + 54 / 3 (2) Solve the problem
vampirchik [111]

Answer:

16

Step-by-step explanation:

7 + 54/3*2

simplify the fraction

=7 + 54/6

=7 + 9

= 16

7 0
3 years ago
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Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
melamori03 [73]

Answer:

6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}

The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

Therefore, the area of the isosceles triangle is:

A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}

Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

4 0
3 years ago
A pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings. How many different pizzas can be mad
KonstantinChe [14]

Answer:  The total number of  pizzas that can be made from the given choices is 24.

Step-by-step explanation:  Given that a pizza parlor offers 3 sizes of pizzas, 2 types of crust, and one of 4 different toppings.

We are to find the number of different pizzas that can be made from the given choices.

We have the <em><u>COUNTING PRINCIPLE :</u></em>

If we have m ways of doing one task and n ways of doing the second task, then the number of ways in which we can do both the tasks together is m×n.

Therefore, the number of different pizzas that can be made from the given choices is

N=3\times2\times4=24.

Thus, the total number of  pizzas that can be made from the given choices is 24.

5 0
3 years ago
2/3 is greater than, less than it equal to 5/8
Allushta [10]

Answer:

greater than it

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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