The angles in a quadrilateral are 4y - 10°, y + 40°, 3y + 20° and 2y + 10° in order as you go around the quadrilateral.
a) Set up and solve an equation, to find the value of y.
b) Hence work out the value of each angle.
c) What type of quadrilateral is this?

Answer: The sample might not be a representative of the population because it only included lunch customers.

Step-by-step explanation:

Answer:

The sample might not be representative of the population because it only included lunch customers.

Step-by-step explanation:

Since she is only picking lunch customers and not breakfast and dinner it doesn't show all the people only the people who order lunch

Answer:

-1500

Step-by-step explanation:

the answer is 300 x - 5

If the total number of lunch items is 117, there will be 39 hamburgers there

Fractions are written as a ratio of two numbers

Given

Total items = 117

If the ratio of hot dogs to hamburgers is 26:13, then the total hamburgers that are there is given as:

Hamburgers = 13/39 * 117
Hamburgers = 39

This shows that if the total number of lunch items is 117, there will be 39 hamburgers there

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Answer:

0.7 is the decimal equivalent to 70/100.

Step-by-step explanation:

You can just do the numerator (70) divided by the denominator (100): 70÷100 = 0.7

Answer:

where x1=-3.71 and x2=1.21

Step-by-step explanation:

first= 2x+5x-9=0, a=2,b=5,c=-9, x=

[tex] \sqrt{ {5 }^{2} } - 4 \times 2( - 9) \: over4[/tex]

second x=

[tex] \sqrt[ - 5 + ]{25 + 72} over4[/tex]

x=

[tex] \sqrt[ - 5 +4 ]{97} [/tex]

[tex] \sqrt[ - 5 - 4]{97} [/tex]

Answer:

0

Step-by-step explanation:

A constant velocity means no speeding up or slowing down. So the acclereation will be 0.

Answer:

[tex]-\frac{11}{12}[/tex]

Step-by-step explanation:

please can i have brainliest

hope its right

Answer:

16x^2 - 9 = 0

(4x)^2 - 3^2 = 0

a^2 - b^2 = (a - b) (a + b)

Hence, (4x - 3) (4x + 3) = 0

Either (4x - 3) = 0 or (4x + 3) = 0

4x = 3 or 4x = -3

x = 3/4 or x = -3/4

Answer:

63

Step-by-step explanation:

a entire circle is 360⁰

so you do:

360-297

Answer:

I think its 63

Step-by-step explanation:

Sry if I am wrong. :\

Answer:

A

Step-by-step explanation:edg

Step-by-step explanation:

You’ll need a clean, microwave-safe container (a quart-sized bowl works great) to mix the agar with water and then boil it. These proportions make enough nutrient agar to prepare two Petri dishes. Stir these together well:

• ½-teaspoon agar (about 1.2 grams)

• ¼ cup (60 mL) of hot water

Bring this mixture to a boil for three minutes to completely dissolve the agar. CAUTION: Adult supervision is required to boil water. If you are using a microwave oven to boil the mixture, be careful not to let it boil over. The mixture should be clear with no particles floating in it after boiling.

Remove the mixture from the microwave and allow it to cool for 3 to 5 minutes before moving on to the next step.

Take the lid off of the Petri dish (the lid is larger than the dish) and carefully cover the bottom-half of the Petri dish with warm  nutrient agar mixture.

Loosely cover the bottom portion (set the lid ajar so excess moisture can escape) and allow the mixture to cool and harden for at least an hour.

It’s time to collect some bacteria on the end of a cotton swab! The classic test is to roll a clean cotton swab in your mouth and then to lightly draw a squiggle with it on the gelled agar. However, many people like to test something even more gross like the keys on a computer, a cell phone case, the pump handle of a soap dispenser, or the TV remote control. Unless someone recently cleaned the buttons on the remote, you may be seeing some real goobers in a short time. Dampen a cotton swab and roll it in your fingers as you pull it across the surface of your choice.

Lift the lid off the Petri dish and LIGHTLY draw a squiggly line in the agar with the end of the cotton swab. Roll the swab in your fingers as you draw the line. Replace the lid and label the dish with the date and the name of the item you tested.

Use a sanitizing wipe to thoroughly clean one of the surfaces you tested in Step 6, e.g. Cellphone

With a clean swab, redo the squiggle test in the other half of the Petri dish from Step 6 to confirm your cleaning efforts.

Before growing anything, some people place each Petri dish into a separate zipper-lock bag. Place the upside down dishes into a warm – about 98°F (37°C) is fine – and totally dark place to grow. In a closed box on a cable box is a great place. In a short time, you’ll be greeted by an amazing variety of bacteria, molds, and fungi. You likely see more and larger colonies over the next few days. You shouldn’t see too much growth where the disinfectants (hand sanitizers) were used. You might even see a “halo” around each location. This halo is called the “kill zone.” Measure and compare the size of the kill zone to determine the effectiveness of different antibacterial agents.

Remember: Do NOT open the dishes once things begin to grow. You could be culturing some serious goobers and not even know it. The comfort is that they were around you all the time anyway and now you can see them. Just be careful!

Goobers like you’re growing will often stink and make their presence known after a short time. These are not toys or curiosities you’re growing. Proper disposal is essential for both safety and sanitation. Seal all the Petri dishes into larger zipper-lock plastic bags. You can add a generous shot of chlorine bleach to the bag before sealing it to add another level of destruction. Remember: do NOT open the zipper-lock bags… ever! When you’re finished analyzing the cultures, dispose of the entire sealed bag in the trash.

Golly, Mom is right! It IS important to wash your hands with soap and warm water whenever you can!

The composition of two translations could describe the taxicab’s final position are (1, -2 + 16) and (1, -2 - 16)

The initial position is given as:

Cab = (1, -2)

Assume the cab travel in one direction, the possible translations are:

(x, y + 16)

(x, y - 16)

(x  + 16, y)

(x  - 16, y)

Using the first two translations, the final positions are:

(1, -2 + 16) = (1, 14)

(1, -2 - 16) = (1, -18)

Hence, the composition of two translations could describe the taxicab’s final position are (1, -2 + 16) and (1, -2 - 16)

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Answer:

2/9

Step-by-step explanation:

First, square the fraction 5/6 to get 1/2 * 25/36 - 1/8. Next, multiply 1/2 and 25/36 to get 25/72. Finally, subtract 1/8 to get the answer 2/9.

Answer:

2/9

Step-by-step explanation:

=> 1/2 (5/6)^2 - 1/8

=> 1/2 (25/36) - 1/8

=> 25/72 - 1/8

=> make 1/8 to have a denominator of 72.

=> multiply the numerator and denominator by 9/9

=> 1/8 becomes 9/72

soo

=> 25/72 - 9/72

=> 16/72

^the greatest common factor is 8

=> 2/9

2/9 is your answer :)

Answer:

38.50

Step-by-step explanation:

thirty-eight dollars and fifty cents

Answer:

60 ft²

Step-by-step explanation:

in a cube all sides are congruent so you take one measurement and multiply it by the number of sides, so you do 12 × 6 equals 60.

Answer: 12

Step-by-step explanation:

By the corresponding angles theorem, [tex]4x-5=97-2x \longrightarrow x=17[/tex].

So, this means that [tex]97-2x=63[/tex].

Now, by the same-side interior angles theorem, we know that [tex]10y-3+63=180 \longrightarrow y=\boxed{12}[/tex]

Answer:

surface area=2816 m² & volume =205.33m³

Step-by-step explanation:

here

diameter of base (d) -28 m

radius(r) = d/2=14 m

vertical height of cone (h)-48 m

slant height of cone (l)-50 m

surface area (TSA)-?

volume (v)-?

we know

TSA=(pie*r*l)+pie*r*r

=pie*r(l+r)

=22/7* 14(50+14)

=22*2(64)

=22*128

=2816 m²

again

v=1/3 pie*r*r

=1/3*22/7*14*14

=1/3*22*2*14

=205.33 m³

Answer: x = 20

Step-by-step explanation:

     Let's add what it tells us to the picture. See attached. Since the angles boxed in green are congruent, we can set them equal to each other and solve for x.

3x - 10 = 2x + 10

3x - 20 = 2x

-20 = -x

20 = x

x = 20

Answer:

A

Step-by-step explanation:

bc it look goofy dawg. B C and D all have a pattern but A has like no attern dawg

Answer: A.

Step-by-step explanation: Because the dots are everywhere.

Answer:

Rectangle:

A rectangle has 4 interior 90° angles and 2 sets of parallel sides (11.2,11.2 and 9.6,9.6) so therefore it was correctly named

Rhombus:

Opposite angles in a rhombus are equal (102° and 102° and 78° and 78°)

and has two pairs of parallel sides; one of these pairs being diagonal lines (13.2,13.2)

The third angle of the triangle will be ∠B = 69°.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that:-

The third angle will be calculated as:-

∠A   + ∠C + ∠B = 180

43  +  68  +  ∠B = 180

∠B = 180 - 43 - 68

∠B = 69°

Therefore the third angle of the triangle will be ∠B = 69°.

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Answer:

1. draw a parallelogram, 2. draw an isoceles triangle (a dash on 2 of the traingles lines to show its equal), 3. equilateral pentagon (a dash on all sides), 4. equilateral octogon (draw dashes on all and draw arrows on pair of parallel sides from 1 arrow to 4 arrows)

Step-by-step explanation:

Answer:

working on it

Step-by-step explanation:

Answer:

Exponential model

[tex]y=Ae^{rt}[/tex]

where:

Given:

Substituting given values into the formula and solving for A:

[tex]\begin{aligned}y & =Ae^{rt}\\\implies 100 & = Ae^{r \times 0}\\100 & = Ae^0\\100 & = A(1)\\A & = 100\end{aligned}[/tex]

Given:

Substituting the given values into the equation and solving for r:

[tex]\begin{aligned}y& =Ae^{rt}\\\\\implies 50 & =100e^{30.17r}\\\\\dfrac{1}{2} & = e^{30.17r}\\\\ln \dfrac{1}{2} & = \ln e^{30.17r}\\\\\ln 1-\ln2 & =30.17r \ln e\\\\0-\ln 2 & =30.17r(1)\\\\-\ln 2 & =30.17r\\\\r & = \dfrac{-\ln 2}{30.17}\end{aligned}[/tex]

Therefore, the final equation is:

[tex]y=100e^{\left(-\dfrac{\ln 2}{30.17}\right)t}[/tex]

Part (a)

Q:   From 100g how much remains in 80 years?

[tex]\begin{aligned}t=80 \implies y & =100e^{\left(-\dfrac{\ln 2}{30.17}\right)80}\\& = 15.91389949 \: \sf g\end{aligned}[/tex]

Part (b)

Q:  How long will it take to have 10% remaining?

10% of 100 g = 10 g

[tex]\begin{aligned}y=10 \implies 10 & =100e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\dfrac{1}{10} & =e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\ln \dfrac{1}{10} & =\ln e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\ln 1 - \ln 10 & =\left(-\dfrac{\ln 2}{30.17}\right)t\ln e\\\\0 - \ln 10 & =\left(-\dfrac{\ln 2}{30.17}\right)t(1)\\\\-\ln 10 & =\left(-\dfrac{\ln 2}{30.17}\right)t\\\\t & = \dfrac{- \ln 10}{\left(-\dfrac{\ln 2}{30.17}\right)}\\\\t & = 100.2225706\: \sf years\end{aligned}[/tex]

Part (a)

Q:   How much remains after 50 years (time)?

[tex]\begin{aligned}t=50 \implies y & =100e^{\left(-\dfrac{\ln 2}{30.17}\right)50}\\& = 31.70373153 \: \sf g\end{aligned}[/tex]

Part (b)

Q:   How long to reach 20 g (amount remaining)?

[tex]\begin{aligned}y=20 \implies 20 & =100e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\dfrac{1}{5} & =e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\ln \dfrac{1}{5} & =\ln e^{\left(-\dfrac{\ln 2}{30.17}\right)t}\\\\\ln 1 - \ln 5 & =\left(-\dfrac{\ln 2}{30.17}\right)t\ln e\\\\0 - \ln 5 & =\left(-\dfrac{\ln 2}{30.17}\right)t(1)\\\\-\ln 5 & =\left(-\dfrac{\ln 2}{30.17}\right)t\\\\t & = \dfrac{- \ln 5}{\left(-\dfrac{\ln 2}{30.17}\right)}\\\\t & = 70.05257062\: \sf years\end{aligned}[/tex]

Answer:

∠A = 22°

Step-by-step explanation:

complementary angles is either of two angles whose sum is 90°

∠A + ∠B = 90°

m∠B = 68°

∠A + 68° = 90°

subtract 68 from both sides

∠A + 68° - 68 = 90° - 68

∠A = 22°

Answer:

22°

Step-by-step explanation:

M<A+M<B= 90° ( complementary angles)

M<A+ 68° = 90°

M<A = 90-68= 22°

M<A= 22°

Answer:

Discrete probability distribution

Step-by-step explanation:

A weighted average of the possible values that random a valuable can take

Answer:

[tex]w=\dfrac{8x^2-2y}{y}[/tex]

Step-by-step explanation:

[tex]\textsf{When}\:\dfrac{2x^2}{y}=\dfrac{w+2}{4}\:\textsf{is solved for}\:w,\:\textsf{one equation is}\:w=\dfrac{8x^2}{y}-2[/tex]

Which of the following is an equivalent to find w?

[tex]w=\dfrac{8x^2+2y}{y}[/tex]

[tex]w=\dfrac{8x^2-2y}{y}[/tex]

[tex]w=8x^2-3y[/tex]

[tex]w=8x^2-y[/tex]

[tex]\textsf{Given}: \quad w=\dfrac{8x^2}{y}-2[/tex]

[tex]\implies w=\dfrac{8x^2}{y}-\dfrac{2y}{y}[/tex]

[tex]\implies w=\dfrac{8x^2-2y}{y}[/tex]

The solution for w is [tex]w=\frac{2(4x^2-y)}{y}[/tex] in the equation [tex]\frac{2x^2}{y} = \frac{w+2}{4}[/tex] obtained by isolating the variable term w.

The given equation is[tex]\frac{2x^2}{y} = \frac{w+2}{4}[/tex]

We need to solve for w:

To do this we have to isolate the term with w.

Apply cross multiplication:

[tex]8x^2 = y(w+2)[/tex]

Divide both sides by y:

[tex]\frac{8x^2}{y}=w+2[/tex]

Subtract 2 from both sides:

[tex]\frac{8x^2}{y}-2=w[/tex]

[tex]\frac{8x^2-2y}{y}=w[/tex]

[tex]\frac{2(4x^2-y)}{y}=w[/tex]

Hence, the solution for w is [tex]w=\frac{2(4x^2-y)}{y}[/tex].

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Complete question:

Find the solution for w in the equation  [tex]\frac{2x^2}{y} = \frac{w+2}{4}[/tex] ?

Answer:

A

Step-by-step explanation:

Compound Interest Formula :

Here, we are given :

Substituting the given values and taking x in place of t :