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ra1l [238]
3 years ago
15

Please help with this

Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

Step-by-step explanation:

D because the two angles are the same which means they are congruent. since both angles equal to 30.

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Please provide an answer
Igoryamba

Answer:

Step-by-step explanation:

The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).

Use the opposite angles in an inscribed quadrialteral theorem,

<A + <C = 180

Substitute,

14x - 7 + 8z = 180

Simplify,

22z - 7 = 180

Inverse operations,

22z = 187

z = \frac{187}{22}

Simplify,

z = \frac{17}{2}

Now substitute the value of (z) into the expression given for the measure of angle (<B)

<B = 10z

<B = 10(\frac{17}{2})

Simplify,

<B = 85

Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)

<B + <D = 180

Substitute,

85 + <D = 180

Inverse operations,

<D = 95

8 0
2 years ago
Read 2 more answers
What is the function graphed below
timofeeve [1]

Answer:

y = 1/2x -2

Step-by-step explanation:

The slope of the equation is over 1 and to the right by 2 so Rise/run = 1/2

The y-intercept is -2

4 0
3 years ago
Using a proportion, what can you infer about the number of households in her town that have more than three children?
eduard

Answer:

About 296 households have more than three children.

Step-by-step explanation:

The complete question is:

Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There are 1,346 unique addresses in her town with numbers ranging from zero to five children. The results of 50 randomly generated households are shown below. Children in 50 Households Number of Children Number of Households 0 5 1 11 2 13 3 10 4 9 5 2 Using a proportion, what can you infer about the number of households in her town that have more than three children? About 242 households have more than three children. About 269 households have more than three children. About 296 households have more than three children. About 565 households have more than three children.

Solution:

The data provided for the number of children and number of households is:

Number of Children (<em>X</em>)          Number of Households (<em>f</em> (X))

               0                                                   5

               1                                                    11

               2                                                   13

               3                                                   10

               4                                                    9

               5                                                    2

           TOTAL                                             50

Compute the probability of households having more than three children as follows:

P (More than 3 children) = P (4 children) + P (5 children)

                                        =\frac{9}{50}+\frac{2}{50}

                                        =\frac{11}{50}

                                        =0.22

Let the random variable <em>Y</em> be defined as the number of households having more than three children.

The probability of the random variable <em>Y </em>is, <em>p</em> = 0.22.

The entire population, i.e. total number of addresses in Carmen's town with numbers ranging from zero to five children, consists of <em>N</em> = 1,346 households.

Compute the expected number of households having more than three children as follows:

E(Y) =N\times p

         =1346\times 0.22\\=296.12\\\approx 296

Thus, about 296 households have more than three children.

4 0
3 years ago
Write the equation of a line perpendicular to 8xplus5yequals2 that passes through the point ​(2​,negative 7​).
SSSSS [86.1K]

8x + 5y = 2   →   5y = - 8x + 2   →   y = (-8/5)x + 2  ⇒ m = -8/5

perpendicular slope = 5/8

Point-Slope formula: y - y₁ = m(x - x₁)  ; where (x₁, y₁) is the given point

y - (-7) = (5/8)(x - 2)

y + 7 = (5/8)(x - 2)

8(y + 7) = 5(x - 2)

8y + 56 = 5x - 10

8y + 66 = 5x

        66 = 5x - 8y   ⇒   5x - 8y = 66

Answer: 5x - 8y = 66


7 0
3 years ago
How to you solve. 4+36÷(10-8)^2•3+7
Nookie1986 [14]

\bf 4+36\div (10-8)^2\cdot 3+7\implies \stackrel{\mathbb{PEMDAS}}{4+36\div (\stackrel{\downarrow }{2})^2\cdot 3+7}&#10;\\\\\\&#10;4+36\div \stackrel{\downarrow }{4}\cdot 3+7\implies 4+\stackrel{\downarrow }{9}\cdot 3+7\implies 4+\stackrel{\downarrow }{27}+7&#10;\\\\\\&#10;\stackrel{\downarrow }{31}+7\implies 38

5 0
3 years ago
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