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3 years ago

Line segment XY is tangent to circle Z at point U. If the measure of is 84°, what is the measure of ? 42° 84° 96° 168°

Mathematics

2 answers:

Andreas93 [3]3 years ago

7 0

Answer:

The measure of angle YUV is equal to $m$

Step-by-step explanation:

see the attached figure to better understand the problem

we have that

$arc\ UV=84\°$ -----> given problem

$m$ ------> by central angle

we know that

The triangle UZV is an isosceles triangle

because

$ZU=ZV=radius$

$m$ -----> bases angle of the isosceles triangle

Remember that

The sum of the internal angles of a triangle is equal to $180\°$

$m$

$2m$

substitute and solve for m<ZUV

$2m$

$m$

$m$ ------> by complementary angles

solve for m<YUZ

$48\°+m$

$m$

marin [14]3 years ago

4 0

Answer:

a 42

Step-by-step explanation:

You might be interested in

Divide £21 in ratio 3:4

xxMikexx [17]

3+4 = 7
so
21 / 7 3

3 x 3 = 9
3 x 4 = 12

answer
£21 in ratio 3:4 is £9:£12

3 0

3 years ago

A company manufactures televisions. The average weight of the televisions is 5 pounds with a standard deviation of 0.1 pound. As

Semenov [28]

Answer:

$0.2564\text{ pounds}$

Step-by-step explanation:

The 90th percentile of a normally distributed curve occurs at 1.282 standard deviations. Similarly, the 10th percentile of a normally distributed curve occurs at -1.282 standard deviations.

To find the $X$ percentile for the television weights, use the formula:

$X=\mu +k\sigma$ , where $\mu$ is the average of the set, $k$ is some constant relevant to the percentile you're finding, and $\sigma$ is one standard deviation.

As I mentioned previously, 90th percentile occurs at 1.282 standard deviations. The average of the set and one standard deviation is already given. Substitute $\mu=5$ , $k=1.282$ , and $\sigma=0.1$ :

$X=5+(1.282)(0.1)=5.1282$

Therefore, the 90th percentile weight is 5.1282 pounds.

Repeat the process for calculating the 10th percentile weight:

$X=5+(-1.282)(0.1)=4.8718$

The difference between these two weights is $5.1282-4.8718=\boxed{0.2564\text{ pounds}}$ .

8 0

2 years ago

Read 2 more answers

G. Write the equation of the line in slope-intercept form.

Neko [114]

Answer:

y= x-2
y = 4/5 x+39/5

Step-by-step explanation:

$(3,1) and\:perpendicular \:to \: y = -x+1\\(3,1) = (x,y)\\m = -1\\In\: perpendicularism ; m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{-1} \\m_2 =1\\y = mx+c\\1 = 1(3) +c\\1=3+c\\1-3=c\\-2 =c\\Substitute \:new \:values\:into\\y =mx+c\\y = 1x -2\\y = x-2$

$(-1,7) =(x_1,y_1)\\\\5y = 4x+5\\\\Write\:in\:y=mx+c\:form\\\frac{5y}{5} = \frac{4}{5} x + \frac{5}{5} \\y = \frac{4}{5} x +1\\m = \frac{4}{5} \\\\y -y_1=m(x-x_1)\\y-7=\frac{4}{5} (x -(-1)\\y -7 = 4/5(x+1)\\y -7 = 4/5x +4/5\\\\y = \frac{4}{5} x+\frac{4}{5} +7\\\\y = \frac{4}{5} x +39/5$

6 0

2 years ago

1. True or false:

Nitella [24]

1) true

2)false

Step-by-step explanation:

1) 5(3)+2(4) = 23

= 15+8=23

23=23

thus, (3,4) is solution for 5x + 2y = 23

2) 5(0)+2(4) =23

= 0+8 is not 23

thus, (0,4) is not solution for 5x + 2y = 23

4 0

2 years ago

A summer pool membership costs $275 for 3 months. You can also buy an individual pass for $12.50. If you plan to go to the pool

Leona [35]

12.50 x 8 = 100
100 x 3 = $300
so $275 for 3 months would be the better deal but i’m not sure if by each month u meant 3 months or the whole year. if the whole year was the case it would be
12.50 x 8 = 100
100 x 12 = $1,200
275 x 4 = $1,100
so in that case $275 for 3 months would still be the better deal.

5 0

2 years ago