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3 years ago

Point Z is equidistant from the vertices of ΔTUV.

Mathematics

2 answers:

stealth61 [152]3 years ago

8 0

Answer:

(C)

Step-by-step explanation:

It is given that Point Z is equidistant from the vertices of ΔTUV, therefore ZT=ZU=ZV.

Now, from ΔBTZ and ΔBUZ, we have

ZT=ZU (Given)

BZ=ZB (common)

therefore, by RHS rule of congruency,

ΔBTZ≅ΔBUZ

Thus, by corresponding parts of congruent triangles, we have

∠BTZ=∠BUZ

Thus, option C is correct.

Also, it is not necessary that TA=TB and AZ=BZ because there is no information given regarding these equalities.

Zepler [3.9K]3 years ago

5 0

Consider right triangles BTZ and BUZ.

ZB = ZB (Common)

ZT = ZU (Given)

Therefore, ΔBTZ ≅ ΔBUZ (By RHS theorem)

Hence, by CPCTC,

∠BTZ = ∠BUZ

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A business uses straight-line depreciation to determine the value y of an automobile over a 5-year period. Suppose the original

Elena-2011 [213]

For this problem. it is found that:

a) The automobile has depreciated 75% in 5 years.

b) The value of the automobile was reduced by $10,500 in five years.

c) The linear function is: s(t) = 14,500 - 2,100t.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = ax + b

In which:

a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the problem, we have that:

a) The automobile has depreciated 75% in 5 years, as 4000/14500 = 0.25, and 100% - 25% = 75%.

b) The value of the automobile was reduced by $10,500 in five years, as 14500 - 4000 = $10,500.

For the linear function, we have that:

The initial value is b = 14500.

The slope is of a = -10500/5 = -2100.

Hence the linear function is: s(t) = 14,500 - 2,100t.

More can be learned about linear functions at brainly.com/question/24808124

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2 years ago

Mrs watson is 28 years older than her daughter sarah's age x mrs watson is less than 54 year old how old is sara

iogann1982 [59]

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3 years ago

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Evaluate u + xy, if u = 18, x = 10, and y = 8. <br><br> A. 188<br> B. 36 <br> C. 98<br> D. 224

Luda [366]

If you would like to evaluate u + xy, you can do this using the following steps:

u = 18, x = 10, y = 8
u + xy = 18 + 10 * 8 = 18 + 80 = 98

The correct result would be C. 98.

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3 years ago

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Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years sinc

nekit [7.7K]

Answer:

Hello,

Step-by-step explanation:

Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.

$P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...$

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3 years ago

Match the mean, median, mode, and range for the data set below. 2, 7, 8, 4, 8, 2, 5, 5, 7, 2

dusya [7]

Answer:

Mean - 5

Median - 5

Mode - 2

Range - 6

Step-by-step explanation:

Mean-

If you add 2 + 7 + 8 + 4 + 8 + 2+ 5+ 5+ 7 +2= 50

50 divided by 10 (the amount of numbers in the equation) = 5 for the mean

Median-

Put the numbers in order which is

2,2,2,4,5,5,7,7,8,8 and the number is the middle is 5

Mode-

The number that repeats the most is 2

Range-

The largest number is 8 and the smallest number is 2 so 8-2=6

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3 years ago