All categories

3 years ago

What is the value of x? Enter your answer in the box.

Mathematics

2 answers:

andrew-mc [135]3 years ago

7 0

Answer

The value of x = 54

solution

In the given figure, 3x -52 and 2x+2 are pair of vertically opposite angles.

we know that vertically opposite angles are equal.

So, 3x-52 = 2x+2

3x - 2x = 2 + 52

x= 54

In the figure two angles are equal

Two angles are 3x -52 and 2x+2

3x -52 = 3 x 54 -52 =110

2x + 2 = 2 x 54 +2 =108 + 2 =110

So both the angles are equal

IgorC [24]3 years ago

4 0

X+2=3x-52. -2x=-50. x=25.

You might be interested in

What is the solution to the inequality?

fiasKO [112]

B. x > -4 I did da test. That's da correct one :-)

7 0

3 years ago

Water pours into a tank at the rate of 2000 cm3/min. The tank is cylindrical with radius 2 meters. How fast is the height of wat

Gennadij [26K]

Volume of water in the tank:

$V=\pi (2\,\mathrm m)^2h=\pi(200\,\mathrm{cm})^2h$

Differentiate both sides with respect to time t :

$\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}$

V changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for dh/dt :

$2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}$

$\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}$

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

7 0

3 years ago

How do I solve this?

Yuki888 [10]

The answer is B. The values of y must only be positive because it is equal to
$| - x|$
The other options states that the values of y could be negative which is why it is wrong.

3 0

3 years ago

b) A shopping center consists of two stores and two parking lots. In the diagram, w represents the width of Store B in meters. 2

Degger [83]

Answer:

Step-by-step explanation:

25(w+10) + 13.5(w +10)

5 0

3 years ago

Use Polya's four-step problem-solving strategy and the problem-solving procedures presented in this lesson to solve the followin

svp [43]

Answer:

a) 1+2+3+4+...+396+397+398+399=79800

b) 1+2+3+4+...+546+547+548+549=150975

c) 2+4+6+8+...+72+74+76+78=1560

Step-by-step explanation:

We know that a summation formula for the first n natural numbers:

1+2+3+...+(n-2)+(n-1)+n=\frac{n(n+1)}{2}

We use the formula, we get

a) 1+2+3+4+...+396+397+398+399=\frac{399·(399+1)}{2}=\frac{399· 400}{2}=399· 200=79800

b) 1+2+3+4+...+546+547+548+549=\frac{549·(549+1)}{2}=\frac{549· 550}{2}=549· 275=150975

c)2+4+6+8+...+72+74+76+78=S / ( :2)

1+2+3+4+...+36+37+38+39=S/2

\frac{39·(39+1)}{2}=S/2

\frac{39·40}{2}=S/2

39·40=S

1560=S

Therefore, we get

2+4+6+8+...+72+74+76+78=1560

5 0

3 years ago