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2 years ago

100 points please help will give brainliest

Mathematics

1 answer:

Dominik [7]2 years ago

3 0

Answer:

The two angles ADB and BDC are congruent since they are both right angles.

The segment AD and CD are congruent since D is the midpoint of AC.

Segment BD is in common for the two triangles.

The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED

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The food bank has 1774.4 oz of chicken.If 12.6 oz is 2 servings,how many servings of chicken does this provide?

diamong [38]

Answer:

281 servings

Step-by-step explanation:

From the table attached,

We will apply the unitary method to solve this problem.

∵ 12.6 oz of chicken represents number of servings = 2

∴ 1 oz of chicken will represents number of servings = $\frac{2}{12.6}$

∴ 1774.4 oz of chicken will make the total servings = $\frac{2}{12.6}\times 1774.4$

= 281.65

≈ 281 servings

Therefore, total number of servings provided = 281

6 0

3 years ago

Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the

KonstantinChe [14]

Answer:

The center of the circle is

$(-\frac{3}{2},2)$

Step-by-step explanation:

Let the equation of the circle be

$x^2+y^2+2ax+2by+c=0$ , where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

$0^2+0^2+2a(0)+2b(0)+c=0$

$\implies c=0$

B(-3,0)

$(-3)^2+0^2+2a(-3)+2b(0)+c=0$

$\implies 9+0-6a+0+c=0$

$\implies -6a+c=-9$

But c=0

$\implies -6a=-9$

$\implies a=\frac{3}{2}$

C(1,2)

$1^2+2^2+2a(1)+2b(2)+c=0$

$1+4+2a+4b+c=0$

$2a+4b+c=-5$

Put the value of 'a' and 'c' to find 'b'

$2(\frac{3}{2})+4b+0=-5$

$3+4b+0=-5$

$4b=-5-3$

$4b=-8$

b=-2

Hence the center of the circle is

$(-\frac{3}{2},2)$

8 0

3 years ago

Someone Please help me

Cerrena [4.2K]

Answer:

y= -2x+4

Step-by-step explanation:

To find the slope find 2 points and use "rise/run", that will get -2

To find the y-intercept look at where the line crosses the y-axis. that will be 4

so -2x+4

5 0

3 years ago

Write an equation in point-slope form for the line that has the given slope and that contains the given point. slope 4/5 ,(8,2)

Novosadov [1.4K]

Hello,

The equation is y-2=4/5(x-8)==>y=4/5x-22/5 or 4x-5y=22
=========================================

6 0

3 years ago

B. A number cube is rolled once. What are the odds of rolling a 6?

GREYUIT [131]

Answer:

If by "Number cube" you mean a die, then the odds of rolling a six are

0.167 or $\frac{1}{6}$

8 0

3 years ago

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