If two lines are perpendicular, their slopes are negative reciprocals

Answer:

Measure of Arc AC is 30 degrees

Step-by-step explanation:

To find the value of the marked arc, we are going to use the arc-angle relationship

from the type of given diagram, we can figure out the relationship to use

Mathematically, we have this as;

Measure of Arc AC = 2 * angle ABC

So we have arc AC as 2 * 15

Arc AC = 30 degrees

Answer:

Substitute the values given for f(x) and g(x), in 1. they say f(x)=4x and g(x)=1-x

and basically just substitute them for the functions themselves.

4x+1-x

add like terms!

4x-x = 3x!

3x+1 is your simplified answer, since it is an expression it cannot be simplified any further.

4) Let the number be : N

Given : 10% of this number is 25

[tex]\sf{\implies 10\% \ of \ N = 25}[/tex]

[tex]\sf{\implies \dfrac{10}{100} \times N = 25}[/tex]

[tex]\sf{\implies \dfrac{N}{10} = 25}[/tex]

[tex]\sf{\implies N = 250}[/tex]

Now we need to find 60% of 250

[tex]\sf{\implies \dfrac{60}{100} \times 250}[/tex]

[tex]\sf{\implies 6 \times 25}[/tex]

[tex]\sf{\implies 150}[/tex]

5) Given : James left the home at 10 : 00 AM

First : He will meet his friend Tom at the skate park which is 15 minutes walk from his home.

So, James reached the skate park 10 : 15 AM

Second : They stayed at the skate park for an hour

So, till 11 : 15 AM James and Tom were at skate park

Third : Then they will take a 10 minutes walk over to the Burger bar

So, James and Tom reached the Burger bar at 11 : 25 AM

6) First let us find 75% of 80

[tex]\sf{\implies \dfrac{75}{100} \times 80}[/tex]

[tex]\sf{\implies 15 \times 4}[/tex]

[tex]\sf{\implies 60}[/tex]

Now let us find 40% of 30

[tex]\sf{\implies \dfrac{40}{100} \times 30}[/tex]

[tex]\sf{\implies 12}[/tex]

Now, (60 - 12) = 48

Answer: 75% of 80 is 48 greater than 40% of 30

7) Given : Journey to school takes 70 minutes

We know that : 1 hour = 60 minutes

So, 70 minutes = 1 hour + 10 minutes

Given : Boy leaves the home at 0715

Answer: The Boy arrives at 0825

Answer:

A

Step-by-step explanation:

The zero is the value of x where the line crosses the x- axis

The line crosses the x- axis at x = - 5 ← zero

Answer:

-5

Step-by-step explanation:

The zero of a function is the x-value of the location where the function intersects the x-axis.

Here I read at (-5,0), the function intersects the x-axis, so the zero of the functiion is x = -5

Step-by-step explanation:

always draw triangle b first. for triangle b it is reflected across the x-axis which means all y valies become negative. then for triangle c, you swap the x and y values around.

Answer:

[tex]so \: area = \pi \times {r}^{2} \\ = \pi \times {3}^{2} \\ = 9\pi \: {units}^{2} [/tex]

Answer:

The range is 62

Step-by-step explanation:

Given

[tex]x:70,12,42,45,50,51,60,69,8,40,18[/tex]

Required

The range

This is calculated as:

[tex]Range = Highest - Least[/tex]

From the given data

[tex]Highest = 70[/tex]

[tex]Least=8[/tex]

So:

[tex]Range = Highest - Least[/tex]

[tex]Range = 70-8[/tex]

[tex]Range = 62[/tex]

Answer:

x² + 13x + 42 = 0

Step-by-step explanation:

(x + 6)(x + 7) = x² + 7x + 6x + 42 = x² + 13x + 42

Answer:

*cough**cough* Ms. Roth?

The value of x in the given isosceles triangle, is √55 units.

A triangle with two sides equal is called an isosceles triangle.

Given that, an isosceles triangle, with base 6 units and legs 8 units, we need to find the length of the altitude x,

Since, ABC is an isosceles triangle, therefore, BD = DC = 6/2 = 3 units

Using the Pythagoras theorem,

AC² = DC² + AD²

8² = 3² + AD²

AD² = 64-9

AD² = 55

AD = √55

Hence, the value of x in the given isosceles triangle, is √55 units.

Learn more about isosceles triangle, click;

https://brainly.com/question/2456591

#SPJ7

Answer:

Step-by-step explanation:

9)  (25-x^2 )(a+2) = (5-x)(5+x)(a+2)

11) 9(v-3)+u^2(3-v)

   9(v-3)+u^2( -v+3)

   9(v-3)-u^2( v-3)

   (9-u^2)(v-3)

 (3-u)(3+u)(v-3)

Answer:

126

Step-by-step explanation:

area of a triangle = base ×height/2

so 18×14/2= 126cm2

hope this helps you understand:)

Answer:

13

Step-by-step explanation:

Answer:

x = 3.9

Step-by-step explanation:

cos = adj/hyp

cos67 = x/ 10

x = 10 * cos67

use calculator

x = 3.9

Let's focus on the figure on the left.

For any quadrilateral, the angles always add up to 360. We'll use this to find x.

105+80+75+x = 360

260+x = 360

x = 360-260

x = 100

Now notice that the pair of adjacent angles 105 and 80 add up to 105+80 = 185, which is not 180. Similarly, the adjacent angles 80 and 75 add to 155 which is not 180.

This is enough to show that we don't have any parallel lines here. If we did have parallel lines, then adjacent angles would add to 180.

Since none of the lines are parallel, this figure is not a trapezoid

Any trapezoid has exactly one pair of parallel lines.

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

Move onto the figure on the right

We'll follow the same ideas mentioned in the last section.

x+110+92+88 = 360

x+290 = 360

x = 360-290

x = 70

Note how the adjacent angles 70 and 110 add to 70+110 = 180. This shows they are supplementary angles and that we do have a set of parallel lines (top and bottom). In contrast, the angles 110 and 92 do not add to 180, so that helps us see we only have one pair of parallel lines.

Therefore, the figure is a trapezoid

Answer: the answer is 213.4

Stepby-step explanation:

First you multiply 10.8 and 19.8 then your done

Answer:

10.8 ÷ 6

1.8

Step-by-step explanation:

Answer:

0.01666666666

Answer:

60

Step-by-step explanation:

if you flip it around from "0.15 divided by 9" and turn it into "9 divided by 0.15" you will the answer 60.

(hopes this helps )

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameter[tex]d= 3-cm[/tex]

Radius [tex]r=d/2=>1.5cm[/tex]

Height risen[tex]14.6-14=0.6cm[/tex]

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

[tex]V=\pir^2h[/tex]

Therefore

[tex]V=\pi*1.5^2*0.6[/tex]

[tex]V=4.2417\\\\V=4.24 cm^3[/tex]

Correct Option A

The volume is about 4.24 cm^3.

Answer:

Step-by-step explanation:

2x+15+x+10+3x+5=180 degree(sum of interior angles of a triangle)

6x+30=180

6x=180-30

x=150/6

x=25

therefore the value of x is 25 degree.

Answer:

B

Step-by-step explanation:

The 45 45 90 triangle means that the hypotenuse is just one of the two legs multiplied by rad2. This means that leg s is 10.

The length of the leg is 10.

Option B is the correct answer.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

Sin 45 = Opposite face to angle 45/ Hypotenuse

1/√2 = s / 10√2

s = 10√2 / √2

s = 10

Thus,

The length of the leg is 10.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ7

Answer:

4 1/12 yards of fabric left.

Step-by-step explanation:

First things first: convert the mixed numbers so they have the same denominator

The least common multiple of 4 and 3 is 12, so the common denominator will be 12.

So Jenna has 10 9/12, and uses 6 8/12.

Now subtract:

10 9/12 - 6 8/12 = 4 1/12

So there is 4 1/12 yards of fabric left.

Answer:

75%

Step-by-step explanation:

18/24 = .75

Answer:

75%

Step-by-step explanation:

18 / 24 = 0.75%

Answer:

options number 1 is the answer

step by step explaination

this is u r answer

Answer:

A

(hg)( x)=(4x-3)(x+2)=4x²+5x-6

Answer:

9r^6 - 3g^2 / 5

Step-by-step explanation:

I think this would be the answer. Sorry if I am incorrect :')