Could someone please assist me with this vocabulary worksheet

Answer:

I think it's 7.5 correct me if i'm wrong

Step-by-step explanation:

7.5 is half of 15

Use the midsegement theorem

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW  Given

Side FP ≅ Side CM     Given

Side YP ≅ Side MW    Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT   Given

Side SV ≅ Side SV  by reflexive property

Side VT ≅ Side VU   Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP  Given

Side MQ ≅ Side NP     Given

Side NQ ≅ Side NQ    by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL  Given

Side GJ ≅ Side HK     Given

∠JLG ≅ ∠HLK    vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW   Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ  by reflexive property

Side ZW ≅ Side ZY   Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

The congruence theorems that can be used for each of the given pair of triangles are;

1) SSS

2) SAS

3)SAS

4) SSS

5) SAS

6) SAS

1) From the image we see that;

FY ≅ CW  

FP ≅ CM  

YP ≅ MW

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.

2) From the image we see that;

∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;

∠CBD ≅ ∠BCA

Also, we see that;

EB ≅ EC

DB ≅ CA

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.

3) From the image, we see that;

∠SVU ≅ ∠SVT

Using reflexive property, the shared sides give;

SV ≅ SV  

VT ≅ VU

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.

4) From the image, we see that;

MN ≅ QP

MQ ≅ NP

Using reflexive property, the shared sides give;

NQ ≅ NQ

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.  

5) From the image, we see that;

GL ≅ HL

GJ ≅ HK  

∠JLG and ∠HLK are vertically opposite angles and as such;

∠JLG ≅ ∠HLK

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.

6) We observe from the given triangles that;

∠XZY ≅ ∠XZW (They are both right angles = 90°)

Using reflexive property, the shared side is congruent to itself and so;

XZ ≅ XZ  

Also;

ZW ≅ ZY

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔXYZ ≅ ΔXWZ  using Side-Angle-Side (SAS) congruency theorem.

Read more at; https://brainly.com/question/14399801

Answer:

4s

Step-by-step explanation:

The perimeter of a square is 4 times it's side length.

Formula for a perimeter of a square: [tex]4s[/tex]

s - side length

Hope this helps.

Answer:

Slope: Rise/run

= -2/4

= -1/2

Answer:

-1/2

Step-by-step explanation:

Like I said in your previous question!!

RISE/RUN.

Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!

I hope this helps!!

Answer:

C.

Step-by-step explanation:

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The y-int. is -5 like the equation and the slope is positive

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

Answer:

.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

Step-by-step explanation:

.Graph f(x) = 6x + 2 and g(x) = 6x - 4. Then describe the transformation from the graph of f(x) to the graph of g(x). у 6. 5. 4. 3. 2 . 0 1 A -3 -2 -1 3 2 -i - 5 4 5 6 -3 ### 5. -6​

The transformation from the graph of f(x) to the graph of g(x) is a vertical shift down by 6 units

The functions are given as:

[tex]f(x) = 6x + 2[/tex]

[tex]g(x) = 6x - 4[/tex]

Subtract function f(x) from g(x),

[tex]k = g(x) - f(x)[/tex]

This gives

[tex]k = 6x - 4 - 6x - 2[/tex]

Collect like terms

[tex]k = 6x- 6x - 4 - 2[/tex]

[tex]k = -6[/tex]

The above represents the unit of translation of function f(x) to g(x).

Hence, the transformation from the graph of f(x) to the graph of g(x) is a vertical shift down by 6 units

Read more about function transformation at:

https://brainly.com/question/1548871

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

Answer:

It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.

Answer:

1.3,-1, and -4

Answer:

B(7 , -2)

Step-by-step explanation:

A(-9 , 6)

Midpoint = (-1 , 2 )

[tex]Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) = (-1 , 2)\\[/tex]

                   [tex](\frac{-9+x_{2}}{2},\frac{6+y_{2}}{2}) = (-1 , 2)\\[/tex]

Compare the x co ordinates and y co ordinates,

[tex]\frac{-9+x_{2}}{2}= - 1[/tex]               &    [tex]\frac{6+y_{2}}{2}=2[/tex]

-9 + x₂ = -1*2            & 6 + y₂ = 2*2

-9 + x₂ = -2               & 6 + y₂ = 4

      x₂ = -2 +9          &       y₂  = 4 - 6

      x₂ = 7                 &       y₂   = -2

B(7 , -2)  

Answer:

about 6000π

Step-by-step explanation:

Answer:

1.5

- 3/4

Step-by-step explanation:

To find the opposite of a number, you just have to either add or remove a negative sign.

- 1.5 is negative, so the opposite of negative 1.5 is positive 1.5 or 1.5

3/4 is positive, so the opposite of positive 3/4 is negative 3/4 or - 3/4

I Hope That This Helps! :)

Answer:

1.5

- 3/4

Step-by-step explanation: CREDIT TO GUY ABOVE!

Given:

The ratio of the number of fiction books to the number of non-fiction books in a library is 5:2.

Total number of books = 1421

To find:

The number of books of each type.

Solution:

Let the number of fiction books be 5x and number of non-fiction books be 2x.

Total number of books = 1421

[tex]5x+2x=1421[/tex]

[tex]7x=1421[/tex]

[tex]x=\dfrac{1421}{7}[/tex]

[tex]x=203[/tex]

Now,

Number of fiction books : [tex]5(203)=1015[/tex]

Number of non-fiction books : [tex]2(203)=406[/tex]

Therefore, the number of fiction and non-fiction books are 1015 and 406 respectively.

Answer:

ummm im pretty sure its d

Step-by-step explanation:

Answer:

im pretty sure its last option y=2x

Step-by-step explanation:

on the graph it touches all even numbers

Y=-1/4+4

-1/4 is the slope and the 4 is the y-intercept (where the line touches the y-axis)

I hoped this help's!!!

Answer:

y=-1/4x+4

Step-by-step explanation:

Since the line is decreasing the slope in down 1 and to the right 4 and the y-intercept is 4. Hope this helps:)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

a .

Parallel lines → a & c

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

b .

Parallel lines → d & e

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

c .

I couldn't read it....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

d .

Parallel lines → ---

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

e .

Parallel lines → b & c

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f .

Parallel lines → a & c

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

360 g of sugar and 240 g of flour

Step-by-step explanation:

add the parts of the ratio, 3 + 2 = 5 parts

Divide the total by 5 to find the value of one part of the ratio.

600 g ÷ 5 = 120 g , thus

3 parts = 3 × 120 g = 360 g ← amount of sugar required

2 parts = 2 × 120 g = 240 g ← amount of flour required

Answer:

360 grams of sugar and 240 grams of flour

Step-by-step explanation:

First, find the sum of the parts of the ratio: 3 + 2 = 5

Divide the total amount (600) by the amount of parts:

600/5 = 120

Now multiply 120 by the amount of each part of the ratio:

210 * 3 = 360

360 * 2 = 240

360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.

Hope this helps :)

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

Answer:

76

Step-by-step explanation:

median is the number in the very center of the list of numbers in order:

64, 72, 72, 80, 85, 89

to find the one in the middle we take away the numbers from both ends:

72, 72, 80, 85

72, 80

since there are two numbers in the middle we’ll find the average

(72+80)/2

152/2

76

Answer:

76

Step-by-step explanation:

Median means middle

so we are looking for the middle number

place the numbers in order and look for the number thats in the middle

64, 72, 72, 80, 85, 89

72 and 80 are both the middle numbers.

Therefore, we add 72+80 and then divide by 2

72+80= 152

152/2= 76

Final answer: 76 is the median

Answer:

rate of change = 1.75 over 1 or just 1.75

Step-by-step explanation:

this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.

Answer:

[tex]a+b+c=9+8+6=23[/tex]

Step-by-step explanation:

Let’s first simplify our expression. We have:

[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]

For the second term, multiply both the numerator and denominator by √2. This yields:

[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]

Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:

[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

Hence, our expression is now:

[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]

Let’s combine them. First, we will need common denominators.

Our denominators are 2 and 3. So, our common denominator will be its LCM.

The LCM of 2 and 3 is 6.

Hence, let’s make each term’s denominator 6.

For the first term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]

For the second term, we can multiply both layers by 3. Hence:

[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]

For the third term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]

And for the last term, we can multiply both layers by 2. Hence:

[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]

So, our expression is:

[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]

Add:

[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]

Combine like terms:

[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]

This cannot be simplified. So, c is as small as possible.

Hence: a=9, b=8, and c=6.

Therefore:

[tex]a+b+c=9+8+6=23[/tex]

Answer: The first train gets to the station in 3 hours 14 minutes, and 40 seconds if it is a consent speed of 100 mph The second train gets to the station in 4 hours and 3 minutes if it is a consent speed of 80 mph, so they would meet in 4 hours and 3 minutes.

Step-by-step explanation:

Answer:

y = -18

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = 5x - 3

3x - 2y = 27

Step 2: Rewrite systems

Step 3: Redefine

y = 5x - 3

x = 2/3y + 9

Step 4: Solve for y

Answer:

$463.50

Step-by-step explanation:

3% of 450 is 13.50

450+13.50=463.50

hope this helps :3

if it did pls mark brainliest

463.5 idrk

but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.