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3 years ago

Helppp plzzz I have to submit it today. Look at the figure.

Mathematics

1 answer:

choli [55]3 years ago

7 0

Answer:

angle DGE= 24 Degree

arc GF= 146degree

Step-by-step explanation:

angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree

arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so

angle DGE =24 degree &

ARC GF=146 degree

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19) Albert says that the two systems of equations shown have the same solutions.

k0ka [10]

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

$6x + y= 2$

$-x-y=-3$

solving the system

$\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18$

$\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}$

adding the equation

$-6x-6y=-18$

$+$

$\underline{6x+y=2}$

$-5y=-16$

so the system becomes

$\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

simplify

$y=\frac{16}{5}$

$\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$6x+\frac{16}{5}=2$

subtract 16/5 from both sides

$6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}$

$6x=-\frac{6}{5}$

Divide both sides by 6

$\frac{6x}{6}=\frac{-\frac{6}{5}}{6}$

$x=-\frac{1}{5}$

Therefore, the solution to the FIRST SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

SECOND SYSTEM

$2x-3y = -10$

$-x-y=-3$

solving the system

$\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6$

$\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}$

$-2x-2y=-6$

$+$

$\underline{2x-3y=-10}$

$-5y=-16$

so the system of equations becomes

$\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

Simplify

$y=\frac{16}{5}$

$\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$2x-3\cdot \frac{16}{5}=-10$

$2x=-\frac{2}{5}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\frac{2}{5}}{2}$

Simplify

$x=-\frac{1}{5}$

Therefore, the solution to the SECOND SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

8 0

3 years ago

801,504 round to the nearest thousand

Gelneren [198K]

Answer:

802,000

Step-by-step explanation:

The number in the thousands place is 1, and the number to the right of it is 5. And if the number to the right is greater than or equal to 5 the place value that you are rounding goes up by one.

3 0

4 years ago

Calculate the area of the Parallelogram. I will mark as brainliest, Please help quick!

scZoUnD [109]

Answer:

A = 42 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 6 and h = 7 , then

A = 6 × 7 = 42 cm²

3 0

2 years ago

-x+ 3y = 14 3x – 3y =-6 How would do in steps ?

Naddika [18.5K]

for the first part:

Let's solve for x.

−x+3y=14

Step 1: Add -3y to both sides.

−x+3y+−3y=14+−3y

−x=−3y+14

Step 2: Divide both sides by -1.

−x/−1 = −3y+14/−1

x=3y−14

Answer:

x=3y−14

Second part:Let's solve for x.

3x−3y=−6

Step 1: Add 3y to both sides.

3x−3y+3y=−6+3y

3x=3y−6

Step 2: Divide both sides by 3.

3x/3= 3y−6/3x=y−2

Answer:

x=y−2

7 0

3 years ago

What is median height of 72, 75, 78, 72, and 73?

sleet_krkn [62]

The median height is the one in the middle when placed in numerical order. Which in this case, it is 73. (the bolded numbers are those that are being crossed out)

72, 72, 73, 75, 78
72, 72, 73, 75, 78
72, 72, 73, 75, 78

73 is the median height!

6 0

4 years ago

Read 2 more answers