Arrange the numbers as they appear from left to right on a horizontal number line.
2.85
-1.58
-2.5
-1.85
-2.57
-2.76
2.5

Answer:

1. x = 54, y = 114,

missing angles => 66° and 114°

2. x = 42, y = 14,

Missing angles => 84°, 86°

3. x = 40, y = 50

Missing angles => 105°, 75°

Step-by-step explanation:

1. y° = 114° (corresponding angles are congruent)

(x + 12)° + y° = 180° (linear pair angles)

Substitute

x + 12 + 114 = 180

x + 126 = 180

Subtract 126 from each side

x = 180 - 126

x = 54

✔️Find the missing angles by plugging in the values of x and y in each case

(x + 12)° = 54 + 12 = 66°

y = 114°

2. ✔️Find x:

(2x)° + 96° = 180° (consecutive interior angles are supplementary)

Subtract 96 from each side

2x = 180 - 96

2x = 84

x = 84/2

x = 42

✔️Find y:

(3y + 44)° + 94° = 180° (consecutive interior angles are supplementary)

3y + 44 + 94 = 180

3y + 138 = 180

3y = 180 - 138

3y = 42

y = 42/3

y = 14

✔️Missing angles:

(2x)°

Plug in the value of x

= 2(42) = 84°

(3y + 44)°

Plug in the value of y

3(14) + 44 = 86°

3.

✔️Find x:

3x - 15 = 105 (corresponding angles are congruent)

3x = 105 + 15

3x = 120

x = 120/3

x = 40

✔️Find y:

(3x - 15)° + (y + 25)° = 180° (linear pair angles are supplementary)

Plug in the value of x to solve for y

3(40) - 15 + y + 25 = 180

120 - 15 + y + 25 = 180

Add like terms

130 + y = 180

y = 180 - 130

y = 50

✔️Missing angles:

(3x - 15)°

Plug in the value of x

3(40) - 15 = 105°

(y + 25)°

Plug in the value of y

50 + 25 = 75°

Step-by-step explanation:

number of bags=8bags

which is the fruits=apples and bananas

total number of apples and bananas bag = 4 bag of each

Answer:

a

Step-by-step explanation:

complementary angles sum to 90° , so

3x + 4 + 6x - 4 = 90

9x = 90 ( divide both sides by 9 )

x = 10

Answer:

Gradient of A: 2

Gradient of B: -1

Step-by-step explanation:

Gradient = change in y/change in x

✔️Gradient of A using two points on line A, (2, 5) and (0, 1):

Gradient = (1 - 5)/(0 - 2) = -4/-2

Simplify

Gradient of A = 2

✔️Gradient of B using two points on line B, (0, 5) and (5, 0):

Gradient = (0 - 5)/(5 - 0) = -5/5

Simplify

Gradient of B = -1

Hello!

What is the function rule the line?

f(x) = 2/3x - 2

Good luck! :)

Answer:

2 solutions so it can be inferred that it might be a quadratic

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

y = 0 and y = - 7 are horizontal parallel lines.

Since they are parallel, they never intersect and so have no solutions.

Answer:

-1.540

Step-by-step explanation:

H0 : μ = 18

H0 : μ ≠ 18

The sample size, n = 48

Sample mean, xbar = 17

Sample standard deviation, s = 4.5

α = 0.05

The test statistic :

(xbar - μ) ÷ (s/√(n))

(17 - 18) ÷ (4.5 / √48))

-1 ÷ 0.6495190

= -1.5396

= -1.540 (3 decimal places ).

Answer:

wait what

Step-by-step explanation:

Answer:

yeet

Step-by-step explanation:

urmom

5x - 3y = -4

-3y = -5x - 4

3y = 5x + 4

Y = (5/3)x + (4/3)

The slope of the line is (5/3).

(Its y-intercept is 4/3 but we don't need that.)

Any line parallel to it has same slope. (5/3)

Any line perpendicular to it has slope that is the negative reciprocal of 5/3. (-3/5)

Answer:

24

Step-by-step explanation:

p/2 = 12.

To leave the p alone, multiply 2 from both sides.

p = 24

c ans

...................

Answer:

m<BAC = 60°

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.

m<ACD = m<A + m<B

130° = m<A + 70°

m<A = 60°

m<BAC = 60°

Step-by-step explanation:

[tex]\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\ [/tex]

[tex]\longrightarrow \tt { 250 \times 100 = P \times 50} \\ [/tex]

[tex]\longrightarrow \tt { 25000 = P \times 50} \\ [/tex]

[tex]\longrightarrow \tt { \dfrac{25000}{50} = P } \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\ [/tex]

Therefore principal is $500.

Let the total number of balls be x.

→ Red balls + Blue balls + Yellow balls = Total number of balls

[tex]\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\ [/tex]

[tex]\longrightarrow \tt{ 31x + 1260= 35x} \\ [/tex]

[tex]\longrightarrow \tt{ 1260= 35x-31x} \\ [/tex]

[tex]\longrightarrow \tt{ 1260= 4x} \\ [/tex]

[tex]\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\ [/tex]

Total number of balls is 315.

A/Q,

3/5 of the balls are blue.

[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\ [/tex]

[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\ [/tex]

[tex]\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\ [/tex]

❀ [tex]\huge\underline{ \underline{Solution :-}}[/tex]

[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )[/tex]

To solve, use the algebraic identity ➺

[tex]( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

188 m

Step-by-step explanation:

[tex] \tan(12) = \frac{40}{x} \\ x = \frac{40}{ \tan(12) } \\ x = 188[/tex]

Answer:

I think that the other answer is WRONG

tan(12) = [tex]\frac{x}{40}[/tex]

x = tan(12)*40 = 8.5

Step-by-step explanation:

[tex]\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x}[/tex] = 8.5

Answer:

see explanation

Step-by-step explanation:

Angles on the circumference subtended on the same arc are equal

Angle at the centre is twice the angle at the circumference subtended on the same arc.

Then

∠ BAC = ∠ BDC = 29°

∠ BOC = 2 × ∠ BDC = 2 × 29° = 58°

Answer:

114 hamburger

Step-by-step explanation:

456:4=114

the cheeseburger sold 3 times than the hamburger so 3+1=4

456:4 =114

Answer:

f(x)=-3(x+2)^2-2

Step-by-step explanation: the the FX graph the -3 in my equation represents the decrease(for being negative) in the graph, the positive 2 represents the x axis if that number is positive the negative 3 is going to change the x axis then will end up being negative which is why the x starts off in negative 2, the last number represents the y axis if the y axis is negative 2 the y will start off at -2

Given :-

To Find :-

Solution :-

We know that ,

→ Distance = Speed × Time

So that ,

→ Distance = 40 km/hr × 0.5 hr

→ Distance = 40km/hr × 1/2 hr

→ Distance = 20km .

Hence the required answer is 20km .

Answer:

C. 4

Step-by-step explanation:

Use the slope formula y2-y1 / x2-x1

6+2/3-1

8/2

4

So, the answer is C. 4.

Answer:

the above answer help you guy.

h

,

Answer:

-1x - 1

Step-by-step explanation:

the factor of x is the slope of the line in the form of y/x.

it simply says how many units y changes for a given change of x.

in our diagram we can see that when x changes one unit to the right (positive), y changes 1 unit down (negative).

so, the slope or factor of x = -1/1 = -1

and when x=0, y=-1.

so, the constant offset in the line equation is -1 too.

so, it is

y = -x - 1

or as explicit factor for x

y = -1×x - 1

Answer:

This question isn't really complete, but if you're asking what Holly's age is, then that's just 67 - 24, which is 43.

So Holly is 43, if that's the question.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]h + 24 =67[/tex]

[tex]h = 43[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

⸻⸻⸻⸻

[tex]\boxed{\text{Setting up an equation:}}\\\\\text{'24 more than Holly's age'} \rightarrow h + 24\\\\\text{'is 67'} \rightarrow = 67\\\\\boxed{h + 24 = 67}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'h'...}}\\\\h + 24 = 67\\-------------\\\rightarrow h + 24 - 24 = 67 - 24\\\\\rightarrow \boxed{h=43}\\\\\\\text{Holly should be 43 years old.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]y= \frac{1}{2} x +6[/tex]

Step-by-step explanation:

[tex]x/2-y+6=0[/tex]

[tex]x/2 +6=y[/tex]

[tex]y= \frac{1}{2} x +6[/tex]

Answer:

x - 27

Step-by-step explanation:

Our goal here is to solve for x.

Start by performing the indicated multiplication:

-5(x+4) + -3x + -9x+-7  =>  -5x - 20 - 3x + 9x - 7

Combine like terms:  x - 27

Answer:

[tex]-5(x+4) + -3x + -9x+-7[/tex]

[tex]\longmapsto -5\left(x+4\right)+\left(-3\right)x+\left(-9\right)x+\left(-7\right)[/tex]

[tex]\longmapsto -5\left(x+4\right)-3x-9x-7[/tex]

[tex]\longmapsto -5(x+4)=-5x-20[/tex]

[tex]\longmapsto -5x-20-3x-9x-7[/tex]

[tex]\longmapsto =-17x-27[/tex]

[tex]ANSWER:=-17x-27[/tex]

-------------------------------

hope it helps....

have a great day!!

answer is C. 252 ft^2

split the figure into two pieces and first figure out the rectangle (shown in turquoise).

If you multiply the width and length (18*6) you should get 108.

Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.