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3 years ago

What is the value of x, y, and z?

Mathematics

1 answer:

deff fn [24]3 years ago

7 0

Answer: x = 34º, y = 146º, z = 146º

Step-by-step explanation:

Adding the angles inside a triangle gives you 180º. So

85 + 61 + x = 180

146 + x = 180

x = 34º

x and y are supplementary, so y = 180 - x = 180 - 34 = 146º.

y and z are equal (vertical angles), so z = 146º.

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Given the below sequence:

kvasek [131]

Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a) the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

$t_{n} = a+(n-1)d$

First term is a = -1 and difference is d = -2

finding fifth term is

$t_{5} = -1 +(5-1)(-2)$

$t_{5} = -1-8 =-9$

finding sixth term is

$t_{6} = -1 +(6-1)(-2)$

$t_{6} = -1-10 =-11$

finding seventh term is

$t_{7} = -1 + (7-1)(-2)$

$t_{7} = -1 -12 =-13$

The next three terms are -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

$t_{n} = a+(n-1)d$

a= -1 and d =-2

find 27 t h term :-

$t_{27} = -1 + (27-1)(-2) = -1-52=-53$

6 0

3 years ago

A parallelogram has side length of 9x+12 and 3x-4.what is the perimeter ?

Karo-lina-s [1.5K]

2(9x+12) + 2(3x-4)
because there are four sides, and it is a parallelogram, the opposite sides are equal. the answer is 24x+16

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3 years ago

Which rule deacribes the

Marysya12 [62]

Answer:

A. ${T_{-6,-2}}\circ {r_{x-axis}}(x,y)$

Step-by-step explanation:

We have that, ΔABC is transformed to get ΔA''B''C''.

We see that the following transformations are applied:

1. Reflection across x-axis i.e. flipped across x-axis.

Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.

2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.

So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.

Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.

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3 years ago

Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using

Pavel [41]

Answer:

He drew a scalene triangle

Step-by-step explanation:

A scalene triangle is where all side measure and all angle measure are different.

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A quadrilateral has no pairs of parallel sides. Which name best describes the figure?

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A kite fits this description.

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