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3 years ago

A cyclic quadrilateral is shown. x:y=3:7. work out the size of angle z

Mathematics

1 answer:

LekaFEV [45]3 years ago

7 0

Answer:

116 degrees

Step-by-step explanation:

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1. since A^2= 36x^2, a=? 2. since b^2= 49, b=?

Wewaii [24]

Answer:

Step-by-step explanation:

36x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

then

36x² - 49

= (6x)² - 7²

= (6x - 7)(6x + 7)

Thus 6x - 7 is a factor of the expression

7 0

2 years ago

Read 2 more answers

In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who tak

andrew-mc [135]

Answer:

58 students

Step-by-step explanation:

Given

$Total = 85$

$French = 27$

$Geometry = 51$

$History = 38$

$None = 5$

$All = 2$

Required

Students that take only 1 subjects

The attached image illustrates the question.

For French only (x), we have:

$x + 7 -2+10-2+2=27$

$x + 15=27$

Collect like terms

$x =- 15+27$

$x =12$

For Geometry only (y), we have:

$y+10-2+15-2+2=51$

$y+23=51$

Collect like terms

$y=-23+51$

$y=28$

For History only (z), we have:

$z +15-2+7-2+2=38$

$z +20=38$

Collect like terms

$z =-20+38$

$z =18$

Students with one subject is then calculated as:

$1\ subject = x+y+z$

$1\ subject = 12 + 28 + 18$

$1\ subject = 58$

5 0

3 years ago

This line has a Y-intercept of A. 0 B. 1 C.2 D.3

insens350 [35]

Answer:

The y-intercept is 3 aka. (0,3)

Step-by-step explanation:

The slope is 1 (since (6-4)/(3-1)=2/2=1)

y=1x+b

4=1+b

3=b

4 0

3 years ago

Read 2 more answers

Suppose that G(X) = F(x+ 9). Which statement best compares the graph of

coldgirl [10]

Answer: Option D

Step-by-step explanation:

By definition if we have a function F (x) and perform a transformation of the form

$G (x) = F (x + c)$

Then it is true that:

If c is negative the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the right

If c is positive, the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the left.

Note that in this case the transformation is:

$G (x) = F (x + 9)$

Then $c = 9$ and $c> 0$

Therefore the graph of G(x) will be equal to the graph of F(x) displaced horizontally 9 units to the left

The answer is the option D.

5 0

3 years ago

Read 2 more answers

A student says that a correlation coefficient of −0.93 indicates that the two quantities of a data set have a weak correlation.

zloy xaker [14]

Answer:

Step-by-step explanation:

Recall that correlation coefficients range from -1 to +1. So, -0.93 is a strong negative relationship. Two interpretations: 1) the correlation is actually very strong, and 2) the correlation is negative. When the correlation is negative, the dependent variable DECREASES when the independent variable INCREASES.

8 0

3 years ago