All categories

3 years ago

W (5x- 12) z Y (2x - 3)° X = m

Mathematics

1 answer:

german3 years ago

8 0

Answer:

<VYX +<YVX+<VXY=180 SUM OF THE INTERIOR ANGLE OF THE TRIANGLE

90+5X-12+2X-3=180

7X=180-75

X=105/7=15

X=15°

again

in right angled triangle XYZ

<Y+<Z+<X=180

<y+90+2×15-3=180

[here diagonal of the rectangular bisect each at 90°]

<Y=180-117=63°

M<VWZ= <XYZ=63° alternate angle

You might be interested in

How do you do 3(4y-7)=15y+6

cestrela7 [59]

Answer:

y = 27/7

Step-by-step explanation:

Perform the indicated multiplication:

3(4y-7)=15y+6 becomes:

12y - 21 = 5y + 6

Combining like terms, we get:

7y = 27, so that y = 27/7

7 0

4 years ago

The first three steps in determining the solution set of the system of equations algebraically are shown in the table. y = −x2 +

lianna [129]

You have a system of equations $\left \{ {{y = -x^2+2x-9} \atop {y =-6x+6}} \right.$ .

1. Substitude right side of second equation into the left side of the first equation: $-6x+6=-x^2+2x-9$ .

2. Solve this equation:
$x^2-2x+9-6x+6=0, \\ x^2-8x+15=0, \\ D=(-8)^2-4\cdot 1\cdot 15=64-60=4, \\ \sqrt{D}=2, \\ x_{1,2}=\dfrac{8\pm 2}{2 } =3,5$ .

3. Find y:
for $x_1=3, y_1=-6\cdot 3+6=-18+6=-12$ ,
for $x_2=5, y_2=-6\cdot 5+6=-30+6=-24$ .

4. The solutions of the system are: (3,-12) and (5,-24).
Answer: Correct choice is A.

7 0

4 years ago

Read 2 more answers

Simplify square root of 24 times square root of 2x times square root of 3x

sveticcg [70]

$\sqrt{24} * \sqrt{2x} * \sqrt{3x} = \sqrt{2*2*2*3}* \sqrt{2*x} * \sqrt{3*x}$ $= \sqrt{2*2*2*2*3*3*x*x} = 2*2*3*x = 12x$

3 0

4 years ago

Name

Rudiy27

I think you're missing a bit of the question. If her savings can be modeled by x...?

3 0

3 years ago

For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?

Verdich [7]

Answer:

72 kg

Step-by-step explanation:

For concreatting a tower cement, sand, stones are in the ratio 1:2:4 For 144kg sand.. What amount of cement is required?

We are given the ratio

cement: sand:stones

= 1:2:4

The sum of proportion =

1 + 2 + 4 = 7

We are given the kg of sand = 144kg

Step 1

We find the total kg of cement, sand and stones = x

Using the proportion of sand,

2/7 of x = 144kg

2/7 × x = 144kg

2x/7 = 144kg

Cross Multiply

2x = 7 × 144kg

x = 7 × 144kg/2

x = 504kg

Therefore the total kg of cement, sand and stone = 504kg

Step 2

The amount of cement required is calculated as:

1/7 × 504 kg = 72 kg

Therefore, 72kg of cement is required.

4 0

3 years ago