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Elena L [17]
3 years ago
7

Find the measure of angle z in the following figure

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer:

z=40 degrees

Step-by-step explanation:

a triangle is 180 degrees

<ACB=50 (180-130=50)

50+90=140

180-140=40

Stels [109]3 years ago
3 0

Answer:

40 degrees

Step-by-step explanation:

so in order to find this we first off know that every triangle's inside angles are equal to 180 degrees total.

so if we take that <A is equal to 90 degrees

then we see that the outside of <C is equal to 130 and line BCD is a confirmed straight line

then each line is equal to 180 degrees so we subtract 130 from 180 in order to find the inside angle of C so that would equal 50

so now that we know <A=90

and <C=50

then we add those two together and that equals 140 degrees

and so there is only one more angle which is <Z

so we subtract 140 from the total amount of 180 degrees in the triangle

leaving us with <Z=40 degrees

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How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1
kirill [66]

Answer:

The simplification for the expression is given as =( 7 + 2(a-3))/(a-3)

Step-by-step explanation:

To simplify the expression we will first convert the words to values in numbers and alphabets.

StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction

= 5/(a-3) -4/2 + 2/(a-3)

Having done that, let's move on and simplify the expression.

5/(a-3) -4/2 + 2/(a-3)

= 5/(a-3) -2+ 2/(a-3)

= 5/(a-3) + 2/(a-3) -2

= 7/(a-3) -2

=( 7 + 2(a-3))/(a-3)

7 0
3 years ago
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
VMariaS [17]

Answer: a) 8.779 years

               b) 8.664 years

<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

4 0
3 years ago
What is the slope of the line that passes through the pair of points (3,-4) and (5,-7).
maria [59]

The correct answer is C. -3/2

5 0
3 years ago
Jordan wants to make 1.25 using dollars half dollars and quarters how many different ways can she make 1.25
mihalych1998 [28]

Answer:

3

Step-by-step explanation:

1. 5 quarters.

2. 1 half dollar and 3 quarters.

3. 2 half dollars and a quarter.

7 0
3 years ago
What is the same as 2/3
Paul [167]

Answer:

4/6 and 6/9 us simlar as 2/3

7 0
2 years ago
Read 2 more answers
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