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3 years ago

Can someone please help me

Mathematics

2 answers:

Maksim231197 [3]3 years ago

7 0

Answer:

a = 84°

Step-by-step explanation:

∠ QPR and ∠ TPR are adjacent and supplementary, thus

∠TPR = 180° - 123° = 57°

Given there are parallel lines , then

∠ PTR = 27° ( alternate angle )

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ TRS is an external angle , thus

∠ TRS = a = 57° + 27° = 84°

Scrat [10]3 years ago

3 0

Answer:

84 degrees.

Step-by-step explanation:

m < R + m < T = 123 (External angle of a triangle theorem)

m < T = 27 degrees (alternate angle to 27 degrees).

So m < R = 123 - 27 = 96 degrees.

Finally m < a = 180 - 96 = 84 degrees ( as it is adjacent to < R)

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Svetach [21]

Answer: He will practice both on every 15 days.

Step-by-step explanation:

Given: Jaquan practices soccer every 3 days.

He practices basketball every 5 days Jaquan practiced both today.

The number of days until he practices both = Least common multiple of 3 and 5

= 3 x 5 [Both are primes]

= 15

Hence, he will practice both on every 15 days.

Least common multiple of two numbers p and q is the smallest number that is divisible by both p and q.

7 0

3 years ago

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for o

pshichka [43]

Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

Sample space is a set that contains all the possible outcomes for an event.

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

5 0

3 years ago

It says Name the angle IN the scaled copy that corresponds to angle ABC

Anestetic [448]

Answer:

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Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

birute deposite $500 In a savings account with a simple interest rate of 1.3% . how could you use this information to find the i

vladimir2022 [97]

Money Birute deposited in a savings account = $500

Rate of simple interest per annum = 1.3%

▪︎We need to find the interest she will earn in 4 years.

We know that :

$\tt \: \color{hotpink}simple \: interest \color{plum}= \frac{principal \times rate \times time}{100}$

In this case :

Principal = $500

Rate = 1.3%

Time = 4 years

Which means :

The simple interest she will earn in 4 years :

$= \tt \frac{500 \times 1.3 \times 4}{100}$

$= \tt \frac{2600}{100}$

$\color{plum} = \tt\bold{\$26}$

Thus, the simple interest she will earn in 4 years = $26

Amount = Principal + Interest

Amount she will gain after 4 years :

$=\tt 500 + 26$

$\color{plum} = \tt\bold{\$526}$

Thus, the amount she will gain after 4 years = $526

Amount change in her account = 526 - 500 = 26

We know that :

$\tt \: \color{hotpink}percentage \: of \: change\color{plum} = \frac{change}{original \: price} \times 100$

Which means :

Percentage of change in her savings account :

$=\tt \frac{26}{500} \times 100$

$=\tt \frac{26 \times 100}{500}$

$= \tt\frac{2600}{500}$

$\color{plum} = \bold{\tt\bold{5.2\%}}$

<h2>○=> Therefore :</h2>

▪︎Simple interest after 4 years = $26

▪︎Money she will earn after 4 years = $526

▪︎Percentage of change in her savings account = 5.2%

6 0

3 years ago

Consider the figure.<br> What is JL?

lisov135 [29]

The answer for the above mentioned problem is JL = 12.5

Step by step explanation:

Given:

JM = 8

KM = 6

To Find:

JL = ?

Formula to be used:

$KM^2$ = JM x ML

In order to find " JL" we must first find "ML",

$KM^2$ = JM x ML

$6^2$ = 8 x ML

36 = 8 x ML

36/8 = ML

ML = 4.5

Now JL = 4.5+8

= 12.5

Thus the value of JL = 12.5

3 0

3 years ago

Can someone please help me​

Can someone please help me