All categories

2 years ago

Help These are inscribed angles I think

Mathematics

1 answer:

MrRa [10]2 years ago

5 0

Answer:

13) 142° (intercepted arc is twice the inscribed angle)

14) 23° (inscribed angles is half of the intercepted arc)

15) Since RT is a diameter and arcRS = 46°, then arcST = 180° - 46 = 134°

16) Using the result of #13, arcRQ = 180° - 142° = 38°

You might be interested in

Claire purchases a new dress for the prom. The dress is priced $160, but it is on sale for 30% off. Claire’s aunt works at the s

djverab [1.8K]

Answer:

$Total = \$103.20$

Step-by-step explanation:

Given

$Amount =\$160$

$D_1 = 30\%$ --- first discount

$D_2 = 10\%$ --- second discount

$Sales\ Tax = 7.5\%$

Required

Determine the amount paid

First, we add the total discount:

$D = D_1 + D_2$

$D = 30\% + 10\%$

$D = 40\%$

If she got a discount of 40%, then she paid 60% (i.e. 100% - 40%)

So:

$Amount = 60\% * \$160$

$Amount = \$96$

Calculate the sales tax

$Sales\ Tax = 7.5\% * \$96$

$Sales\ Tax = \$7.2$

$Total = \$96 + \$7.2$

$Total = \$103.20$

3 0

3 years ago

Perform the indicated operations. Write the answer in standard form, a+bi. 5-3i / -2-9i

Vsevolod [243]

$\huge \boxed{\mathfrak{Answer} \downarrow}$

$\large \bf\frac { 5 - 3 i } { - 2 - 9 i } \\$

Multiply both numerator and denominator of $\sf \frac{5-3i}{-2-9i} \\$ by the complex conjugate of the denominator, -2+9i.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2-9i\right)\left(-2+9i\right)}) \\$

Multiplication can be transformed into difference of squares using the rule: $\sf\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$ .

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{\left(-2\right)^{2}-9^{2}i^{2}}) \\$

By definition, i² is -1. Calculate the denominator.

$\large \bf \: Re(\frac{\left(5-3i\right)\left(-2+9i\right)}{85}) \\$

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

$\large \bf \: Re(\frac{5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9i^{2}}{85}) \\$

Do the multiplications in $\sf5\left(-2\right)+5\times \left(9i\right)-3i\left(-2\right)-3\times 9\left(-1\right)$ .

$\large \bf \: Re(\frac{-10+45i+6i+27}{85}) \\$

Combine the real and imaginary parts in -10+45i+6i+27.

$\large \bf \: Re(\frac{-10+27+\left(45+6\right)i}{85}) \\$

Do the additions in $\sf-10+27+\left(45+6\right)i$ .

$\large \bf Re(\frac{17+51i}{85}) \\$

Divide 17+51i by 85 to get $\sf\frac{1}{5}+\frac{3}{5}i \\$ .

$\large \bf \: Re(\frac{1}{5}+\frac{3}{5}i) \\$

The real part of $\sf \frac{1}{5}+\frac{3}{5}i \\$ is $\sf \frac{1}{5} \\$ .

$\large \boxed{\bf\frac{1}{5} = 0.2} \\$

3 0

3 years ago

Please help with this worksheet real numbers

Rufina [12.5K]

I DO NOT KNOW JUST GIVE ME A SECOND.

6 0

3 years ago

A family visits a car show to research information on vehicles they might consider purchasing. Brochures for each vehicle provid

djyliett [7]

Answer:

Option A:

Number of seats

Step-by-step explanation:

A discrete quantitative variable is a variable that can be enumerated. This means that they are in units in which numbers can be assigned to and can be counted.

The number of seats present in the car can be counted. This feature can also be evaluated based on its numeral value, rather than its quality. In a simple form, the buyers feel that the more the number of seats present in the car, the more people it can carry. Hence, the family would love to buy a car with a good number of seats in it.

The other features in the options are rather continuous, qualitative, or boolean. Some of them are continuous because they cannot be counted e.g fuel efficiency. The others such as the presence of a sunroof can be seen as a boolean variable. (it can either be true or false)

Type of the transmission is a qualitative variable

7 0

3 years ago

How do you find x in the equation 3x+21=42 Plz help will mark brianltes

Rus_ich [418]

Answer:

3x=21

X=7

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers