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1 year ago

What is the value of angle X and angle Y in the triangle diagram below?

Mathematics

1 answer:

andre [41]1 year ago

3 0

Sum of two interior angles=exterior angle

$\\ \rm\Rrightarrow 45+65=y$

$\\ \rm\Rrightarrow y=110$

Linear pairs have sum 180

$\\ \rm\Rrightarrow x+y=180$

$\\ \rm\Rrightarrow x+110=180$

$\\ \rm\Rrightarrow x=70$

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With 1 ≤ |a| < 10 and N is an integer.

Elena-2011 [213]

So a times 10^n where 1≤|a|<10 and n is an integer is what i learned

so

a.
234=
2.34 times 100=
2.34 times 10²

b.
0.000052=
5.2 times 1/100000=
5.2 times 10⁻⁵

c.
-220000=
-2.2 times 100000=
-2.2 times 10⁵

d. ok, so just count the spaces moved to the left
-18.2 times 10⁻¹⁵

6 0

3 years ago

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three op

lutik1710 [3]

The statement that is true about the quadratic function is (b) the graph of the function is a parabola.

<h3>How to determine the true statements?</h3>

The quadratic function is given as

f(x) = x2 – 5x + 12

Rewrite as

f(x) = x² – 5x + 12

All quadratic functions are parabola

This means that option (b) is true

Set x = -10 to calculate f(-10)

So, we have

f(-10) = (-10)² – 5(-10) + 12

Evaluate

f(-10) = 162

This means that option (a) is false

Set x = 20 to calculate f(20)

So, we have

f(20) = (20)² – 5(20) + 12

Evaluate

f(20) = 312

This means that option (d) is false

Set x = 0 to calculate f(0)

So, we have

f(0) = (0)² – 5(2) + 12

Evaluate

f(0) = 12

This means that option (e) is false

The leading coefficient in f(x) = x² – 5x + 12 is positive

Graphs with positive leading coefficient opens up

This means that option (c) is false

Hence, the true statement about the quadratic function is (b)

Read more about quadratic functions at

brainly.com/question/1214333

#SPJ1

5 0

10 months ago

How does f(x) = 3 ^x change over the interval x = 4 to x= 5

zloy xaker [14]

Answer:

f(x) = 3^x increases steadily on the interval [4,5].

Step-by-step explanation:

This exponential function f(x) = 3^x has a positive base (3) which is larger than 1. Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.

6 0

3 years ago

Can anyone help and explain how to do this it’s very confusing?

Margarita [4]

Answer:

Find the slopes; 123 servings

Step-by-step explanation:

When you look at the graph and table, find out which ones have a slope of 1/2

To find slope you have to use this equation

$\frac{y - y^1}{x - x^1}$

So for each graph and table, calculate the slope using that formula :)

For the second question,

For every 10 students, the amount of juice dispensed was

7*4 + 3*8 = 52

So divide 52 by 10 to get 5.2

Then divide the total amount of juice (640) by 5.2 and that rounds to about 123 servings of juice

4 0

2 years ago

Can y’all help me what do I do here please I’ll give you brainliest

exis [7]

Answer:

1, 2, -3, 51

Step-by-step explanation:

0 ÷ 2 = 0

0 + 1 = 1

2 ÷ 2 = 1

1 + 1 = 2

-8 ÷ 2 = -4

-4 + 1 = -3

100 ÷ 2 = 50

50 + 1 = 51

3 0

3 years ago