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3 years ago

Find the measure of angle T. Please help it’s for a test

Mathematics

1 answer:

stellarik [79]3 years ago

5 0

Answer:

80 degrees

Step-by-step explanation:

A rectangle is a parallelogram, so its opposite angles are congruent and its consecutive angles are supplementary.

So if angle S = 100,then angle consecutive T is its supplementary (They add to 180)

180-100 = 80

Angle R also = 80

Angle U =100 (congruent to its opposite

100+100+80+80 = 360

Sum of angles in a rectangle = 360 degrees.

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Find the value of b to the shape

Aleonysh [2.5K]

Answer:

b=99°

Step-by-step explanation:

108°+72°+81°+b=360°

b=99°

6 0

3 years ago

Leah has two savings accounts with balances totaling $8,000. She withdrew 15% from one and

DedPeter [7]

Answer:930 Hope this Helps :D

Step-by-step explanation:

For the given problem:

Let the balances of the saving accounts be (x) and (y)

Leah has two savings accounts with balances totaling $8,000

so,

x+y=8000 (1)

She withdrew 15% from one and 40% from the other. If she has $6,350 remaining in the accounts

So, The remaining from the accounts will be (1 - 15%) and ( 1 - 40%)

that will give the decimals: 0.85 and 0.6

so, we can write the following equation:

0.85x+0.6y=6350 (2)

Now, solve the equations (1) and (2) to find (x) and (y)

From equation (1)

y=8000-x (3)

Substitute with (y) from equation (3) into equation (2)

0.85x+0.6*(8000)-x =6350

Now solve the equation

0.85x+0.6*8000-0.6x=6350

0.85x-0.6+4800+6350

0.25x=6350-4800

0.25x=1550

x=6200

Substitute with (x) into equation (3) to find (y)

y=8000-6200=1800

So, the larger account = x = 6200

and the smaller account = y = 1800

Now, we will answer the question, how much money did she withdraw from the account with the larger balance?

so, the answer will be: 15% of x = 0.15 * 6200 = 930

So, the answer will be $930

6 0

2 years ago

Evaluate the. Expression x+ 9, if x= 8. 1, 2, 17, 89

Solnce55 [7]

Answer:

Step-by-step explanation:

We are given the expression find x + 9 if x = 8.

When a certain number has a variable and the value of the variable is known, all you have to do is plug in the variable amount into the equation, therefore :

x is 8 , so we plug in 8 for x

x + 9 =

8 + 9 = 17

3 0

3 years ago

Read 2 more answers

Ehelp help help help help

IrinaVladis [17]

Answer:

The ratio of red to green crayons is 18 to 24 which can be reduced to 3 to 4.

Step-by-step explanation:

5 0

3 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

3 years ago