1. Find the values of the unknown angles from
the following figures.
(i)
78°
102°
(
ii)
79°
X
101°
y у
65°
78°
100°
30°​

Answer: Point P partitioned the line segment MN into 4:3.

Step-by-step explanation:

Point P is [tex]\dfrac47[/tex]of the distance from M to N.

Let the distance between M to N =x.

[tex]MP=\dfrac47x[/tex]

Point P partition the directed line segment from M to N .

MN = MP+PN

[tex]\Rightarrow\ x=\dfrac47 x+PN\\\\\Rightarrow\ PN =x-\dfrac47 x\\\\\Rightarrow\ PN=\dfrac37 x[/tex]

Ratio of MP to PN = [tex]=\dfrac{\dfrac{4}{7}x}{\dfrac{3}{7}x}=\dfrac43[/tex]

∴ Point P partitioned the line segment MN into 4:3.

Answer:   B. 4 : 3

edg 2021

Step-by-step explanation:

Answer:

uh the pic is all black? i need the pic to find out whats the awnser is

Answer:

The answer is below

Step-by-step explanation:

A rectangle has an area of x² + 7x + 12. Use factoring to find possible dimensions of the rectangle. Explain why you can use factoring to find the answer.

Solution:

A rectangle is a quadrilateral (ha four sides and four angles) in which opposite sides are parallel and equal to each other. All the four angles in a rectangle are 90° each.

The area of a rectangle is given by:

Area = length * width

Hence the area is the product of two sides.

Given that:

Area = x² + 7x + 12

Factoring to find both the length and width of the rectangle:

Area = x² + 7x + 12

Area = x² + 4x + 3x + 12

Area = x(x + 4) + 3(x + 4)

Area = (x + 4)(x + 3)

After factoring we can see that the area is the product of (x + 4) and (x + 3). Hence x + 4 is the length and x + 3 is the width.

Answer:

515,493 copies sold

Step-by-step explanation:

Since this is a ratio problem and we have three values and one variable that we need to find (copies sold to date) then we can use the Rule of three to solve this problem. We simply need to multiply the diagonal values and divide by the third value to get the variable. This can be seen below...

36,600 copies   <=====>   7.1%

    x  copies   <========>  100%

(36,600 * 100) / 7.1 = 515,492.96  

Since the number of books cannot be a decimal we must round up to the nearest book sold, which would mean that the number of copies sold to date is 515,493 copies sold

Answer:

[tex]\dfrac{3}{5}\times \dfrac{5}{3}[/tex]

Step-by-step explanation:

The number is [tex]\dfrac{3}{5}=0.6[/tex]

The choices are

[tex]\dfrac{3}{5}\times \dfrac{3}{7}=\dfrac{9}{35}=0.257[/tex]

[tex]\dfrac{3}{5}\times 0=0[/tex]

[tex]\dfrac{3}{5}\times \dfrac{5}{3}=1[/tex]

[tex]\dfrac{3}{5}\times 1=\dfrac{3}{5}[/tex]

So, we have to check which product is greater than 0.6.

Only one of the products is greater than 0.6 which is [tex]\dfrac{3}{5}\times \dfrac{5}{3}=1[/tex].

Answer:

Z'(6, 7)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point up, down, right and left. If a point A(x, y) is translated a units right and b units up, the new point would ne at A'(x + a, y + b). Also, If a point A(x, y) is translated a units left and b units down, the new point would ne at A'(x - a, y - b).

Given that the coordinates of triangle XYZ is at X(7, 11), Y(10, 14) and Z(8, 7).

XYZ will be translated so that the coordinates of X, are (5,11), therefore a translation of 2 units left is done (x - 2, y). The new coordinates are:

X'(5, 11), Y'(8, 14) and Z'(6, 7)

Answer:7$ per hour

Step-by-step explanation:

Answer:

About 7 dollars

Step-by-step explanation:

Answer:

the 2 side of u have to subtract the numbers then add the numbers

Step-by-step explanation:

Answer:

a) 4

Step-by-step explanation:

Since that the sign given is "less than", we will have the lower digit than 4. Since 0 is the only number less than 4, it is the answer.

[tex] = \tt{\green{\boxed{\tt{{0}}}} \: < \: 4}[/tex]

Answer:

your answer would be b

Step-by-step explanation:

got it right

Answer:

c

Step-by-step explanation:

If you rotate the triangle U lines up with E and T lines up with D

Answer:

5f+60

Step-by-step explanation:

Answer:

P = 5f + 60

Step-by-step explanation:

The Perimeter of a Regular Shape

A regular shape has sides that are all the same length as each other and angles that are all congruent to each other. The perimeter is the total distance around the outside of a shape.

To find the perimeter of a regular shape, we simply multiply one side length by the number of sides of the shape.

It's given the length of a side of a regular pentagon (n=5) as L=f+12.

The perimeter of the pentagon is 5 times f+12:

P = 5(f + 12)

Operating:

P = 5f + 60

Answer:

y=-1/2x-1

Step-by-step explanation:

Answer:

A. 30

Step-by-step explanation:

y=mz+b

b=75

m=30

ROC(rate of change)=slope

ROC=30

Answer:

1200

Step-by-step explanation:

the ball is going at 20 fps, 20x60 is 1200

Answer:

c)-4/3

Step-by-step explanation:

perpendicular slope is opposite and reciprocal

the green line has a slope of 3/4

so the slope of the red line is -4/3

Answer:

1 square and 3 circles

Step-by-step explanation:

Answer:

6oz butter

7.2oz sugar

9oz flour

3 eggs

Step-by-step explanation:

10÷25=0.4

12÷25=0.48

15÷25=0.6

5÷25=0.2

0.4×15=6

0.48×15=7.2

0.6×15=9

0.2×15=3

Answer:

c=[tex]\sqrt{52}[/tex]

Step-by-step explanation:

a=height=6

b=length=4

using pythagorean theorem

a^2+b^2=c^2

36+16=c^2

c=[tex]\sqrt{36+16}[/tex]

c=[tex]\sqrt{52}[/tex]

Answer:

-5(1 + √3)/2

Step-by-step explanation:

To rationalize 5÷1-√3, we multiply both the numerator and the denominator by the conjugate of 1 - √3 = 1 + √3.

So 5 ÷ (1 - √3) = 5/(1 - √3), we multiply by the conjugate of the denominator, we have

5/(1 - √3) × (1 + √3)/(1 + √3) = 5(1 + √3)/[(1 - √3) × (1 + √3)]

=  5(1 + √3)/(1² - (√3)²)

=  5(1 + √3)/(1 - 3)

= 5(1 + √3)/-2

= -5(1 + √3)/2

Answer:

x=-[tex]\frac{13-i\sqrt{119} }{12}[/tex] , - [tex]\frac{13-i\sqrt{119} }{12}[/tex]  

Step-by-step explanation:

Answer:

1 liter I think?

Step-by-step explanation:

I don't know for sure but I am thinking it is 1 liter

Answer: 407

Step-by-step explanation: Given :

                                  Thursday                Friday                

School play                  300                         x                        

Band concert               184                         250

To Find : value of x

Solution

Since we are given that there is an association

So,  

Thus the value of x is 407

Answer:

A,B, and E

Step-by-step explanation:

edge 2021

Answer:

125

Step-by-step explanation:

the minus and negative sign basically cancel each other out and/or combine to make + sign for positive