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lubasha [3.4K]
2 years ago
13

Find the value of x in the triangle shown below.

Mathematics
2 answers:
andre [41]2 years ago
6 0
The value of x is 37!
( all triangles equal 180, so i added 98 and 45, and subtracted the answer to 180)
vladimir2022 [97]2 years ago
4 0

Solution: all triangles add up to 180 degrees, if you take 98 + 45 that will  equal 143 degrees, you can now take 180 degrees - 143 degrees to get your answer for x

Answer: X = 37 degrees

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Is the open sentence 3z=2z+5 true or false when z=5?<br><br> A. True<br> B. False
inna [77]
Hey there! 

If z = 5 

we replace "z" with "5" 

So, let's test out the problem to see if it is true or false

Problem becomes: 3(5) = 2(5) + 5

Let's work this out

3(5) = 15

Problem becomes: 15 = 2(5) + 5

2(5) = 10

Problem becomes: 15 = 10 + 5

10 + 5 = 15

So, therefore it looks like this statement/ sentence is True!

~MeIsKaitlyn:)

3 0
2 years ago
Simplify expression X^2+x-2/x^3-x^2+2x-2
professor190 [17]

Answer:


=\frac {x+2}{x^2+2} is the simplest form of given expression.


Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}


Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms


= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}



=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}


Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



7 0
2 years ago
What is the description of the pattern in the sequence?
Ronch [10]
Multiplying by 2, the next one would be 160
8 0
2 years ago
Read 2 more answers
What is the equation of the line that passes through point (1, 1) and is
kaheart [24]

Answer:

Step-by-step explanation:

-y = -2x + 3

y = 2x - 3

y - 1 = 2(x - 1)

y - 1 = 2x - 2

y = 2x - 1

answer is B

8 0
3 years ago
In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S
lys-0071 [83]

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

8 0
2 years ago
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