Which of the following is not a true statement? *

a. The boundary line of y > x + 1 is a solid line.
b. The boundary line of y < 2x - 3 is not a solid line.
c. 3x + y < 2 is an example of linear inequality
d. (1, 1) is a solution of x + 3y > 2​

Step-by-step explanation:

step 1. (x^2 + 14x + 49) + 15

step 2. (x + 7)^2 + 15.

Answer:

Step-by-step explanation:

To divide fractions, multiply by the reciprocal.

So we have:

2/3 x 12/6 = 24/18 = 4/3 = 1 1/3

Answer:

D. Cannot be determined

Step-by-step explanation:

Similarly between given triangles can not be determined because given information are insufficient.

The correct option for the given triangles is D. Cannot be determined

Any two triangles will be considered as similar as they have congruent corresponding angles and the corresponding sides are in equal ratios.

Two shapes are Similar when one can become the other after a resize, flip, slide or turn.

Given are two triangle PWR and XYZ we need to determine whether they are similar or not,

So, we only have measurement of a pair of sides and measurement of an angle,

We have some similarity rules by which we can prove two triangles to be similar, they are :-

AA rule, Side Angle Side (SAS), Side Side Side (SSS) and Right-angle Hypotenuse Side (RHS)

Since, we do not enough information to conclude our discussion.

Hence, the correct option is D. Cannot be determined

Learn more about similar triangles, click;

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Solution :

It is given that Z is the incenter

So, we get from the figure

[tex]$5x +1= 8x -14$[/tex]

⇒ [tex]$-3x = -15$[/tex]

⇒ x = 5

So, [tex]$5x+1 = 26 ^\circ \text{ and}\ 8x-14 = 26^\circ$[/tex]

We have to find ∠ ZTU.

In Δ UTV,

∠ TUV + ∠ UTV + ∠ TVU = 180°

⇒ (2 x 21°) + ∠ UTV + (2 x 26°) = 180°

⇒ ∠ UTV  = 180° - 52° - 42°

                = 86°

So, [tex]$\angle ZTV = \frac{1}{2} \ \angle UTV$[/tex]

                 [tex]$ = \frac{1}{2} \times 86^\circ$[/tex]

                 [tex]$=43^\circ$[/tex]

Therefore, m ∠ ZTU = 43°

Answer: The lines do not intersect because they are parallel and have different y-intercepts.

Step-by-step explanation:

Answer:

Where is the rest of the question?

Step-by-step explanation:

40x +20

Answer:

All sides will be 11 and all angles will be 90 degrees.

Step-by-step explanation:

As all sides of square are equal. And all angles are right angled.

Hope it helped!!

Answer:

Measurements of this years garden are 10 meters and 6 metres.

Step-by-step explanation:

Width of a rectangular garden = 3 meters

Area of a rectangular garden = 10 square meters

Also,

Area of a rectangular garden = length × breadth

10 = length × 3

Length = [tex]\frac{10}{3}[/tex] meters

Mr. Petersons wants to make the garden three times as long and two times as wide.

New length = 3 (length) = [tex]3(\frac{10}{3} )=10[/tex] meters

New breadth = 2(width) = 2(3) = 6 meters.

Therefore,

Measurements of this years garden are 10 meters and 6 metres.

Answer:

6.148

Step-by-step explanation:

Answer:

Step-by-step explanation:

A and D

Answer:

yes

Step-by-step explanation:

your m is your slope,your b is the y-intercept, and your y is what you are solving for.

Answer:

Y=mx+b is an equation for a linear equation

M is the slope of the line and B is the y-intercept

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Every straight line can be represented by an equation: y = mx + b.

Hope this helps :))

Answer:

The answer is 56 cm^3

Step-by-step explanation:

2 = height

7 = length

4 = width

Formula: LxWxH

2 x 7  x 4 = 56

Answer:

Step-by-step explanation:

You can't find an exact value, but you can find an simpler expression by using the distributive property.

a + 4bc + 2ab

And that is as much as it can be reduced.

Answer:

sin (330)

csc (60)

cos (390)

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions

Answer:

I think the answer B

If not then, sorry

Answer: I dont understand.

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

The formula for finding the slope of a line is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. We can take any two points given to us from the table and plug them into that expression. For example, we can use the points (0,0) and (2,-8).

[tex]\frac{y_2-y_1}{x_2-x_1}\\= \frac{-8-0}{2-0}\\= \frac{-8}{2}[/tex]

Simplify the fraction

[tex]= -4[/tex]

Therefore, the slope of the line is equal to -4.

I hope this helps!

Answer:

Step-by-step explanation:

Answer:

[tex] x = 4 \sqrt{2} [/tex]

[tex] y = 4 \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \sin 45 \degree = \frac{x}{8} \\ \\ x = 8 \sin 45 \degree \\ \\ x = 8 \times \frac{1}{ \sqrt{2} } \\ \\ x = \frac{8 \sqrt{2} }{2} \\ \\ x = 4 \sqrt{2} \\ \\ \\ \tan 30 \degree = \frac{x}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{4 \sqrt{2} }{y} \\ \\ y = 4 \sqrt{6} [/tex]

Answer:

V ≈ 471.2 in³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius of the base and h is the height )

Here diameter = 10, so r = 10 ÷ 2 = 5 and h = 6, then

V = π × 5² × 6 = π × 25 × 6 = 150π in³ ← exact value

V ≈ 471.2 in³ ( to 1 dec. place )

Answer:

320 toy cars and 25 toy trucks

Step-by-step explanation:

Answer:

-7 (3a - 5)

Step-by-step explanation:

Answer:

[tex] - 7(3a - 5)[/tex]

Step-by-step explanation:

you just have to factor out the common term 7.

4 and 5

finally that is closest to the number in the middle to complete the statement

Answer:

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bireysel farklılıklara saygı duyulması insanlar birbirlerini asalanaya başlar ülkede iç savaş çıkabilir mesela