All categories

2 years ago

In the figure below, mZ1=(x +48) and m2 2=2xº. Find the angle measures.

Mathematics

1 answer:

NARA [144]2 years ago

6 0

Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
(14° + 48°) + 2(14)° = 90°
62° + 28° = 90°

90° = 90° (True statement)

Therefore:

m < 1 = 62°
m < 2 = 28°

You might be interested in

Since the Boston marathon began in 1897, the finish time has been incrementally decreasing. The mean finish time to date is 231

morpeh [17]

Answer:

hello your question lacks the required options but i will provide a general answer to your question

answer : The mean value and the standard deviation would allow us use a Z-score

Step-by-step explanation:

mean value = 231 minutes

standard deviation ( std ) = 40 minutes

sample size = 40

The parameters that would be applicable while use Z-score are : The given mean value and the standard deviation

This is because the value of a z-score gives us an information on how far we are from the mean score i.e. number of standard deviations

+Zscore means that the score is above the average value

-Zscore means that the score is below the average value

7 0

2 years ago

considering the leading term of the polynomial function. what is the end behavior of the graph? describe the end behavior and pr

mario62 [17]

The leading term of polynomial function is the the term contain highest degree so here in the given question leading term is $-3x^5$

and leading coefficient is the coefficient of the term with greatest exponent -3

RULES for End behaviour

we have following four cases

CASE1: Even degree and positive leading coefficient

$x\rightarrow -\infty$ $f(x)\rightarrow \infty$

$x\rightarrow \infty$ $f(x)\rightarrow \infty$

CASE2: Even degree and negative leading coefficient

$x\rightarrow -\infty$ $f(x)\rightarrow -\infty$

$x\rightarrow \infty$ $f(x)\rightarrow -\infty$

CASE3: Odd degree and positive leading coefficient

$x\rightarrow -\infty$ $f(x)\rightarrow -\infty$

$x\rightarrow \infty$ $f(x)\rightarrow \infty$

CASE4: Odd degree and negative leading coefficient

$x\rightarrow -\infty$ $x\rightarrow \infty$

$x\rightarrow \infty$ $f(x)\rightarrow -\infty$

Here in the given case we have odd degree and negative leading coefficient

$x\rightarrow -\infty$ $x\rightarrow -\infty$

$x\rightarrow \infty$ $f(x)\rightarrow -\infty$

3 0

2 years ago

there are five students in the lunch line. May is 48 inches tall, Ann is 45 inches tall ,Con is 42 inches tall ,Bell is 52 inche

kirill115 [55]

Bell is the tallest person at 52 inches, Con is the shortest person at 42 inches. So 54 - 42 = 12

6 0

2 years ago

Read 2 more answers

Evaluate the following expression when x = 31 and y = 28. 3(x-7)3 + 128 - 35

ki77a [65]

I hope this is correct

4 0

3 years ago

A surveyor measures the length of a surveying chain containing 1000 chain links. The length is 0.0533km. What is the length of a

Leya [2.2K]

Answer:

length of a single chain link = 5.33 cm

Step-by-step explanation:

Given data: chain contained 1000 chain links

total length was 0.0533km

1km = 1000m

1m = 100cm therefore 1km = 100000cm

total length in cm = 0.0533* 100000

total length in cm = 5330 cm

length of a single chain link = 5330/1000

length of a single chain link = 5.33 cm

7 0

3 years ago