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3 years ago

In the diagram of circle A, what is the measure of ZXYZ? 35° 70° 75° 140°

Mathematics

1 answer:

postnew [5]3 years ago

4 0

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The answer is 35 degrees

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Help me out please, im only typing this much because its making me...

Genrish500 [490]

Answer:

B. $x^{2} +2x-8$

Step-by-step explanation:

Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.

Now substitute x=-4 in all the options

A. $x^{2} -2x-8$

16+8-8=16>0

so out of option A and C option C is correct.

B. $x^{2} +2x-8$

16-8-8=0 which means for the values of x>-4 $x^{2} +2x-8$ is less than 0

Now substitute x=2 in all the options

A. $x^{2} -2x-8$

4-4-8=-8<0 . so option A and C both are incorrect.

B. $x^{2} +2x-8$

4+4-8=0 which means for the values of x<2 $x^{2} +2x-8$ is less than 0

Therefore the correct option is B

6 0

3 years ago

Serial numbers for a product are to be made using 3 letters followed by 4 digits. The letters are to be taken from the first let

Tpy6a [65]

Answer:

30,240 ways, if I am restricted to using A, B, and C for letters

Step-by-step explanation:

This uses Combinatorics from Discrete Math.

so.

3 letters and 4 digits.

26 letters from alphabet, but you want to choose first letters. no repeats...

Does this mean only letters A, B, and C ?

digits from 10 digits...

I imagine 7 empty slots , and the number of ways they occur together is by the product of the number of choices each box has.

3*2*1 * 10*9*8*7 = 6 * 5040 = 30,240 ways

3 0

3 years ago

Please help ! I’m taking this test right now

Setler [38]

Answer:

$-2\frac{1}{3} -(-10\frac{1}{6}) =-\frac{7}{3}+\frac{61}{6} =-\frac{14}{6} +\frac{61}{6} =\frac{47}{6} =7\frac{5}{6}$

Step-by-step explanation:

7 0

3 years ago

Petra was given 12 yards of fabric to make costumes for the school play if each costume requires 1 1/2 yards how many costumes c

solmaris [256]

Petra can make 8 costumes with 12 yards of fabric

<h3><u>Solution:</u></h3>

Given that Petra was given 12 yards of fabric to make costumes for the school play

Each costume requires $1\frac{1}{2}$ yards

<em><u>To find: number of costume Petra can make</u></em>

The number of costume Petra can make is calculated by dividing the total fabric she has by fabric needed for one costume

$\text {number of costume Petra can make }=\frac{\text {total fabric she has }}{\text {fabric needed for one costume }}$

Total fabric she has = 12 yards

Fabric needed for 1 costume = $1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2}$ yards

Therefore,

$\text {number of costume Petra can make }=\frac{12}{3 / 2}=\frac{12}{3} \times 2=8$

Thus petra can make 8 costumes with 12 yards of fabric

7 0

3 years ago

Percents

Yuki888 [10]

Answer:

Percentage: 115%

Decimal: 1.15

Fraction: $\frac{23}{20}\\$

Step-by-step explanation:

<u>Percentages, Fractions, and Decimals</u>

Assume we set 100% as the original price of the food that Michael consumed. When he leaves a 15% tip for the waitress, he is really paying 100%+15%=115% of the original price.

Now we express 115% as a decimal, simply dividing by 100:

115% = 115/100 = 1.15

To express it as a fraction, we simplify the division instead of calculating it:

115% = $\frac{115}{100}$

Simplifying by 5:

115% = $\frac{23}{20}$

6 0

3 years ago