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4 years ago

HELPP.

Mathematics

2 answers:

Leona [35]4 years ago

4 0

Answer: $m\angle{B}=132^{\circ}$

Step-by-step explanation:

In the given picture, we have given cyclic Quadrilateral ABCD which is inscribed in this circle.

We know that in cyclic quadrilateral the sum of the opposite angles is equals to $180^{\circ}$

According to the given picture we have ,

$m\angle{D}+m\angle{B}=180^{\circ}\\\\\Rightarrow x+(3x-12)=180\\\\\Rightarrow x+3x-12=180\\\\\Rightarrow 4x=180+12\\\\\Rightarrow 4x=192\\\\\Rightarrow x=48$

Therefore, $m\angle{B}=(3(48)-12)^{\circ}=132^{\circ}$

nexus9112 [7]4 years ago

3 0

The measure of angle B is 132 degrees. A quadrilateral must add up to 360 degrees. You are given x and 3x-12. Half of a square's angles is 180. 4x-12 = 180 which x = 48.

Finally, you plug x in for 3x-12 and you get 132 degrees for B.

This assumes that DC and AB are of the same length

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Two lines have the given equations. Use the LINEAR COMBINATION METHOD to solve.

Maurinko [17]

Using linear combination method, the solution to given system of equations are (-7, -15)

<h3><u>Solution:</u></h3>

Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated

Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.

<u><em>Given system of equations are:</em></u>

2x - y = 1 ---- eqn 1

3x - y = -6 ------ eqn 2

Subtract eqn 2 from eqn 1

2x - y = 1

3x - y = -6

(-) -------------

-x = 7

Substitute x = -7 in eqn 1

2(-7) - y = 1

-14 - y = 1

y = -14 - 1 = -15

Thus the solution to given system of equations are (-7, -15)

8 0

3 years ago

A customer at Lost Pastores placed an order for 3 burritos which was priced at x amount of dollars each. He also ordered a plate

DIA [1.3K]

Answer:

3x +12.95 = 32.46

Step-by-step explanation:

3 burritos plus x + 12.95 = $32.46

8 0

3 years ago

Help please! asap!

aliya0001 [1]

Answer: 50% or 1/2

Step-by-step explanation:

number of possible combos:

1+1, 1+2, 1+3, 1+4, 1+5, 1+6

2+1, 2+2, 2+3, 2+4, 2+5, 2+6

3+1, 3+2, 3+3, 3+4, 3+5, 3+6

4+1, 4+2, 4+3, 4+4, 4+5, 4+6

5+1, 5+2, 5+3, 5+4, 5+5, 5+6

6+1, 6+2, 6+3, 6+4, 6+5, 6+6

number of even sums within combos:

1+1, 1+3, 1+5

2+2, 2+4, 2+6

3+1, 3+3, 3+5

4+2, 4+4, 4+6

5+1, 5+3, 5+5

6+2, 6+4, 6+6

<u>TOTAL combos:</u>

<u>TOTAL even sums:</u>

so that means 18/36 or 1/2 of the possible combinations has a sum of an even number.

sorry it’s not a table but I literally worked it out while answering so that’s all my work

8 0

3 years ago

Solve mathematics problem in photo please!

laila [671]

Hello,

8/(x-7)=7/2
==>(x-7)*7=8*2
==>7x-49=16
==>7x=65
==> x =9+2/7

Answser A

8 0

3 years ago

(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar

EastWind [94]

Answer:

$x=\frac{-363}{70}$ ≈ -5.1857

$y=\frac{-192}{35}$ ≈ -5.4857

$z=\frac{313}{84}$ ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

$6x+8y=-75$

$-3x+6y+6z=5$

$2x-9y=39$

Now, write the system in its augmented matrix form:

$\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]$

applying row reduction process to its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]$

R3+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]$

3R2+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]$

15R3+20R2

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]$

Now we have a simplified system:

$-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565$

$-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)$

From (3):

$z=\frac{313}{84}$ (4)

Replacing (4) in (2)

$y=\frac{-192}{35}$ (5)

Finally replacing (5) and (4) in (1)

$x=\frac{-363}{70}$

7 0

3 years ago

​ HELPP.

HELPP.