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Answer:

Value of x:

[tex]{ \tt{(13x + 9) + (5x + 9) = 180 \degree}} \\ { \tt{18x + 18 = 180 }} \\ { \tt{18x = 162}} \\ { \tt{x = 9}} \\ [/tex]

Angle m‹6:

[tex]{ \boxed{ \tt{m \angle6 = (5x + 9) \degree}}} \\ { \tt{m \angle6 = (5 \times 9) + 9}} \\ { \tt{m \angle6 = 54 \degree}}[/tex]

Answer:

B. 54 degrees

Step-by-step explanation:

Set up an equation that equals 180 degrees because a line is 180 degrees:

(13x+9)+(5x+9)=180

Solve for x:

x=9

Substitute 9 in 5x+9:

5(9)+9

Solve.

54

Since angle 6 is complementary, it is the same as the 7th angle.

So the answer is B, 54 degrees.

Hope this helps!

An equation in terms of r which models the situation described is : 100r² = 10r² + 90r - 337.50

First investment :

Luke:

Total amount had = $100

Amount invested = $10

Amount left = $100 - $10 = $90

Return = r times the amount invested = (10 × r) = 10r

Owen:

Total amount had = $100

Amount invested = $100

Return = r times the amount invested = (100 × r) = 100r

Second investment :

Luke :

Amount invested = Return on first + amount left = 10r + 90

Return is r times the amount invested :

Return on second investment = (10r + 90) × r = (10r² + 90r)

Total amount earned after both investment = 10r² + 90r

Owen :

Amount invested = Return on first = 100r

Return is r times the amount invested :

Return on second investment = (100r × r) = 100r²

Total amount earned after both investment = 100r²

Owen made 337.50 more than Luke ; This means that :

Total earned by Owen = Total earned by Luke + 337.50

100r² = 10r² + 90r + 337.50

Hence, the equation in terms of r is : 100r² = 10r² + 90r - 337.50

Learn more : https://brainly.com/question/18796573

Answer:

y=2x+5

Step-by-step explanation:

y=2x+4 means that the slope is m1=2

A parallel line shall have the same slope so

m2=m1=2

Therefore, the equation of the new line will be

y=2x+q

where q is the y-intercept, that is 5 because the line must pass in (0,5), so

q=5

and

y=2x+5

2x + 40 = 180

2x = 140

x= 70

answer is 70

Answer:

6.9

Step-by-step explanation:

Cos ∆ = Adjacent/Hypotenuse

therefore x=12Cos55°

=6.88

=6.9 to the nearest tenth

Answer:

C

Step-by-step explanation:

The graph has been translated down 4 units and moved to the right 2 units

so correct answer is C (x-2)^2-4.

Answer:

124.4

Step-by-step explanation:

Perimeter of ∆HIJ = IJ + HJ + HI

IJ = 40

HJ = 37.6

HI = ?

Let's find HI

∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.

Thus:

EF/HI = FG/IJ

EF = 117 (given)

HI = ?

FG = 100 (given)

IJ = 40 (given)

Plug in the values

117/HI = 100/40

117/HI = 2.5

117 = HI*2.5

117/2.5 = HI

HI = 46.8

✔️Perimeter of ∆HIJ = IJ + HJ + HI

= 40 + 37.6 + 46.8

= 124.4

Answer:

forty-eight-thousand five-hundred and ninety-six

Answer:its B....sorry i didnt read the qn properly earlier

Answer:

tanθ = 9/40

Step-by-step explanation:

Hello,

[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]

Answer A

Answer:

Use the slope formula to find the slope  

m

.

m

=

4/5  

Step-by-step explanation:

Answer:

are you asking how many points are needed to get 90% in

a class that has a total of 3400 points ?

id so that is : 3060

Step-by-step explanation:

Answer:

A. Graph D

Step-by-step explanation:

y >= -1/3x + 1

this means all the y values that are bigger (= above) than the line definition.

and because it says ">=", the line is included.

Respuesta:

5250

Explicación paso a paso:

Dado que :

Importe del préstamo, principal, p = 35000

Tasa de interés, r = 3% = 0.03

Tiempo, t = 5 años

Usando la fórmula de interés simple:

Interés = principal * tasa * tiempo

Interés = 35000 * 0.03 * 5

Intereses = 5250 pesos

Answer:

car(c.p)=$8400

Step-by-step explanation:

L%=(c.p-s.p)100%

c.p

10%=(c.p-7560)100%

c.p

10c.p=100c.p-756,000

(10-100)c.p= -756,000

-90c.p= -756,000

-90 -90

c.p=8400

Answer:

-49

Step-by-step explanation:

-3^2=-9

(2-6)*10=-40

(-9) + (-40) = -49

Answer:

Area of a triangle=1/2×base x height

Let y represent the height

50cm²=1/2×20cm×y

50cm²=10cm×y

50cm²/10cm=10cm×y/10cm

5cm=y

therefore the height of the triangle is 5cm

Area of a trapezoid=1/2×a+b×height

let h represent the height

42cm²=(1/2×14cm+7cm)×h

42cm²=1/2×21cm×h

42cm²=21cm×h/2

42cm²×2=21cm×h(cross multiply)

84cm²=21cmh

84cm²/21cm=21cmh/21cm

4cm=h

Therefore the height is 4cm

Answer: x = 17

Step-by-step explanation: Since ray SQ bisects <TSR, we know

that the m<TSQ ≅ m<QSR by the definition of an angle bisector.

So we can setup the equation (3x - 9) + (3x - 9) = 84

using the angle addition postulate.

Simplifying on the left gives us 6x - 18 = 84.

Now add 18 to both sides to get 6x = 102.

Now divide both sides by 6 so x = 17.

Answer:

x = 6 units

Step-by-step explanation:

For θ = 30°, Perpendicular is 3. Hypotenuse is x.

We can use trigonometry to find x.

[tex]\sin(30)=\dfrac{P}{H}[/tex]

[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]

So, the value of x is equal to 6 units.

Answer:

Step-by-step explanation:

compare with y=mx+b

m=-1

b=4

(b)

area of triangle=1/2×4×4=8 square units.

Answer:

the answer would have to be B

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\dfrac{(9 \times5) 2}{3}}[/tex]

[tex]\huge\boxed{9 \times 5 = \bf 45}[/tex]

[tex]\huge\boxed{ = \dfrac{45(2)}{3}}[/tex]

[tex]\huge\boxed{45(2) = \bf 90}[/tex]

[tex]\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}[/tex]

[tex]\huge\boxed{= \bf 30}[/tex]

[tex]\huge\boxed{\rm{Answer: 30}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

30

Step-by-step explanation:

Multiply 9 and 5 to get 45.

Multiply 45 and 2 to get 90.

Divide 90 by 3 to get 30.

Answer:

There are two alternatives: (i) Polar coordinate system (a.k.a. Circular coordinate system), (ii) Elliptic coordinate system.

Step-by-step explanation:

There are two alternative ways of describing the location of points on a plane:

(i) Polar coordinate system (a.k.a. Circular coordinate system).

(ii) Elliptic coordinate system.

Now we proceed to explain briefly the characteristic of each option:

Polar coordinate system: [tex](r, \theta)[/tex]

Where:

[tex]r[/tex] - Distance of the point with respect to origin.

[tex]\theta[/tex] - Direction of the vector between origin and point with respect to the +x semiaxis, in sexagesimal degrees.

The formulae for each component in terms of Cartesian coordinates are described below:

[tex]r = \sqrt{x^{2}+y^{2}}[/tex] (1)

[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (2)

Elliptic coordinate system: [tex](\mu, \nu)[/tex]

Where [tex]\mu[/tex] and [tex]\nu[/tex] are elliptical coordinates.

The formulae for each component in terms of Cartesian coordinates are described below:

[tex]x = a\cdot \cosh \mu \cdot \cos \nu[/tex] (3)

[tex]y = a \cdot \sinh \mu \cdot \sin \nu[/tex] (4)

Where [tex]a[/tex] is the distance between origin and any of the foci along the x axis.

Answer:

graph D

Step-by-step explanation:

because d it at 0 then moves

Answer:

a

Step-by-step explanation: