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Vedmedyk [2.9K]
3 years ago
10

How do you work out the size of angle x ?

Mathematics
2 answers:
Andreyy893 years ago
8 0

Answer:

117°

Step-by-step explanation:

Angle of straight line is 180°

Angles in a triangle add up to 180°

starting at right

180 - 101 = 79° at right side angle in triangle

now solving left side angle

180 - 38 - 79 = 63°

now solving x using left side angle, must add to 180°

x + 63 = 180°

x = 117°

hammer [34]3 years ago
3 0

Answer:

117

Step-by-step explanation:

101=38+(180-x)

101-38=180-x

63=180-x

x=180-63=117

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2. Abby found the axis of symmetry, x-coordinate, the vertex, and y-intercept
krek1111 [17]

Using quadratic function concepts, it is found that Abby made a mistake on the coordinates of the vertex, which are (-4,1).

----------------------

  • A quadratic function is defined by:

y(x) = ax^2 + bx + c

  • The y-intercept is given by point: (0, y(0))
  • The vertex is given by: (-\frac{b}{2a}, y(-\frac{b}{2a})).
  • The axis of symmetry is: x = -\frac{b}{2a}

----------------------

The function given is:

f(x) = -x^2 - 8x - 15

  • Which is a quadratic equation with: a = -1, b = -8, c = -15.
  • f(0) = -0^2 - 8(0) - 15 = -15, thus, the y-intercept is (0, -15).

x_v = -\frac{b}{2a} = -\frac{(-8)}{2(-1)} = \frac{8}{-2} = -4

  • Thus, the <u>x-coordinate of the vertex</u> is x = -4, which is the same as the <u>axis of symmetry</u>.

f(-4) = -(-4)^2 - 8(-4) - 15 = 1

  • The vertex is given by: (-4,1).

A similar problem is given at brainly.com/question/14680175

8 0
3 years ago
Hey guys hope you can help me please I need a good geometry person it’s about reflections would not regret it
enyata [817]

The correct answer is y-axis, x-axis, y-axis, x-axis.

4 0
3 years ago
Which of the following numbers is classified as an irrational number?
NNADVOKAT [17]
Only √3 is an irrational number, since you can't write it as a fraction
4 0
3 years ago
Find the cardinal number of the set<br> C = {x|x € N, 30 &lt; x &lt; 56 and x is divisible by 6},
Naddik [55]
<h3>Answer: 4</h3>

=====================================================

Explanation:

We're given the following

C = \{ x | x \in \mathbb{N}, \ 30 < x < 56, \ \text{ x is divisible by 6}\}

which means that we have a set of natural numbers between 30 and 56, excluding both endpoints, and the set of numbers are also multiples of 6.

So looking at the multiples of 6 that are between 30 and 56 leads us to

{30, 36, 42, 48, 54}

but we cross off 30 as we want x to be larger than that, so we get this updated final list

{36, 42, 48, 54}

There are four items in this final list so the cardinality of the set described is 4. The cardinality is just the number of items in a given set.

4 0
4 years ago
Ape x: Solve y^3 = 64<br> a. y = 64/3<br> b. y = 16 <br> c. y = 4<br> d. y = 8
Alla [95]

Answer: option C, y = 4

Step-by-step explanation:

first, i simplified the equation.

y = ^3sqt64

then, i just calculated that.

y = 4

6 0
3 years ago
Read 2 more answers
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