Expand to write an equivalent expression: -1/2(-2x+4y)

23) The proof that ΔRSU is congruent to ΔTUS is from; SAS Congruency theorem.

18) The proof that ΔHOW and ΔNEW are congruent is from; SAS congruency theorem.

23) We are given a rectangle RSTU with diagonal US.

Now, we are told that;

UR is parallel to ST

∠R and ∠T are right angles

We can say that for ΔRSU and ΔTUS, that US is equal to itself in both cases by the reflexive property of congruence.

Now, since ∠R and ∠T are right angles, it means that UR is equal to ST.

Thus for the two triangles;

UR = ST

US = US

∠R = ∠T

There are two corresponding equal sides and one corresponding equal angle and as such, ΔRSU and ΔTUS are congruent by SAS congruency postulate.

18) We are given that;

H O = EN

HW = NW

Now, since HN intersects OE at W, then we can say that;

∠HWO = ∠NWE (Alternate angles)

There are two corresponding equal sides and one corresponding equal angle and as such, ΔHOW and ΔNEW are congruent by SAS congruency postulate.

Read more about Congruent Triangles at; https://brainly.com/question/1675117

The order of selecting the balls is an illustration of permutation and combination

The given parameters are:

The possible number of winning numbers in any order is calculated using the following combination expression

[tex]n = ^{69}C_5 * ^{24}C_1[/tex]

This gives

[tex]n = 11238513* 24[/tex]

Evaluate the product

[tex]n = 269724312[/tex]

Hence, the possible number of winning numbers is 269724312

When order is important, we make use of permutation.

So, we have:

[tex]n = ^{69}P_5 * ^{24}P_1[/tex]

This gives

[tex]n = 1348621560* 24[/tex]

Evaluate the product

[tex]n = 32366917440[/tex]

Hence, the possible number of winning numbers in order is 32366917440

Read more about permutation and combination at:

https://brainly.com/question/1216161

Answer:

there are 3.75 cups of bleach in 5 batches of the cleaning solution.

Step-by-step explanation:

Answer:

1750=1750=

13.5%=0.13513.5%=0.135

a⋅(2year)=2ea2yra⋅(2year)=2ea2yr

9years=2ea2yr9years=2ea2yr

Step-by-step explanation:

☝️

Answer:

0.3 0r 3/10

Step-by-step explanation:

4/5 - 1/2 = 3/10 = 0.3

Answer:

(3,-4)

Step-by-step explanation:

There is a graphing calculator called desmos that can help you answer questions like this, but, if you don't want to use that, you can just make a graph and imagine the transformation. Remember, when you reflect something over an axis, it is like you are folding the graph along the axis and your new point will be on the other side.

Answer:

(3,-4)

Step-by-step explanation:

The rule to follow for reflecting a figure across the y-axis is to take the original coordinate (x, y) and change it to (−x, y)

Answer:

GCF 35, 28 is 7

GCF 36, 27 is 9

Step-by-step explanation:

Greatest means biggest.

Common means same.

Factor means a number that goes evenly into the number. (3 goes into 27, so 3 is a factor of 27. 5 doesn't go evenly into 27, so 5 is not a factor of 27)

The biggest number that goes into both 35 and 28 is 7.

1, 5, 7, 35 are factors of 35.

1, 2, 4, 7, 14, 28 are factors of 28.

The biggest factor that's the same is the 7.

factors of 36:

1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 27:

1, 3, 9, 27

The biggest same factor is 9

Step-by-step explanation:

c² = a² + b² - 2ab cosC

or, c² = 22² + 27² - 2(22)(27) cos105

or, c² = 484 + 729 - 1188 (cos105)

or, c² = 1520.48

so, c = 38.99

so, c = 39 ft. approximately (missing side)

Answer: 38

Step-by-step explanation:

We know it's a parallelogram b/c there are 2 pairs of opposite parallel sides.

So this means that AB = DC = 9 and BC = AD = 10 since opposite sides of a parallelogram are congruent.

Meaning perimeter = 9 + 9 + 10 + 10 = 38

Answer:

1.25x + 7.25 < 35.75 is the answer.

Answer: 2

Step-by-step explanation:

parenthesis goes first which is 8-3 (y-z) = 5. Next goes multiplication which is 2 times 5= 10. after is division which is 10 divided 6-1 (x-1). 6-1 is 5 so 10 divided 5 is 2

Answer:

Step-by-step explanation:

Given sequence:

This is a GP with:

The nth term is:

The 11th term is:

Step-by-step explanation:

first you convert 3 3/4 to an improper fraction

also convert 12/3to an improper fraction

3 3/4= 15/4

1 2/3=5/3

15/4 x5/3

=75/12

To mixed fraction it is 6 1/4

Answer:

[tex] \pink{ \mathbb{{SOLUTION:-}}}[/tex]

Given:-

We know that;

[tex] \displaystyle{ \mathbb{SPEED = \frac{DISTANCE \: TRAVELLED}{TIME \: TAKEN} }}[/tex]

[tex] \displaystyle \mathbb{ = \frac{400 \: m}{40 \: sec} }[/tex]

[tex] \displaystyle{ \mathbb{ = 10m/s}}[/tex]

Answer: Pam has 7 and Bill has 11

Step-by-step explanation:

Answer:

Bill has 11 stickers

Step-by-step explanation:

7+4=11 and 11+7=18

18 is the amount that both Pam and Bill have.

Answer:

a

Step-by-step explanation:

because for a 45-degree right triangle the two legs are the same and because the legs are sqrt 3, it is sqrt 6

Answer:

x=2 and 2.6

Step-by-step explanation:

The required solutions for the given function |3 + 10x| = 23 are x = 2 and x = -2.6.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

The function is given in the question as:

|3 + 10x| = 23

To solve for x, we can begin by expressing the absolute value as a piecewise function:

|3 + 10x| = 23

(3 + 10x) = 23, if 3 + 10x ≥ 0

-(3 + 10x) = 23, if 3 + 10x < 0

If 3 + 10x ≥ 0, then 3 + 10x = 23, so x = (23 - 3) / 10 = 2.

If 3 + 10x < 0, then -(3 + 10x) = 23, so 3 + 10x = -23. This means that x = (-23 - 3) / 10 = -2.6.

Thus, the solutions for x are x = 2 and x = -2.6.

Learn more about the absolute value here:

brainly.com/question/1301718

#SPJ2

Answer: yes

Step-by-step explanation:

Side JH and side HI are congruent and angle J and angle I are congruent so the two triangles are also congruent

The given two triangles EJH and EIH are congruent by the RHS congruency rule of two triangles.

Congruence of triangles:

If two or more triangles having same size and shape, then they are congruent to each other.

Every angle and sides are must be equal to each other and hence area is also equal.

How to show congruence in right angled triangles?

Here we have given that two triangles EJH and EIH, both are right angled triangles.

In any two right angled triangles having same hypotenuse and base side then they are congruent to each other by the RHS congruency

Here we have given side HJ ≅ side HI

∠EJH = ∠EIH = 90°

The common side EH is hypotenuse for both that is side EH = side EH

Therefore by RHS criteria these two triangles are congruent.

Learn more about right angled congruency here-

https://brainly.com/question/1675117

#SPJ2

The red arc is named "minor arc EF" or simply "arc EF". This is the shortest distance from E to F along the curve.

The measure of arc EF is 68 degrees as this is the central angle that subtends this same arc.

Answer:

-11 yd/s

Step-by-step explanation:

We basically have to the find slope between the given points

Let h(t)₁ = 0

     h(t)₂ = 33

      t₁ = 6

      t₂ = 3

We have to find the change in distance (h(t)₁ - h(t)₂) then divide it by the change in x (t₁ - t₂)

6 - 3 = 3

This means the change of x is 3

0 - 33 = -33

This means the change in distance is -33

Now divide -33 by 3

-33 ÷ 3 = -11

Answer:

8 hours

Step-by-step explanation:

For this question you would use long division what's 44 divided by 5.5=8

5.5 x 1=5.5

5.5 x 2=11

5.5 x 3=16.5

5.5 x 4=22

5.5 x 5=27.5

5.5 x 6=33

5.5 x 7=38.5

5.5 x 8=44

Hope it helps!   :)

Answer:

a, d, e

Step-by-step explanation:

use the formula for area of a circle ([tex]\pi[/tex][tex]r^{2}[/tex]) to get 162.78

Answer:

Picture

Step-by-step explanation:

Can you add a picture because im sure I can find it out that way

Answer:

Step-by-step explanation:

By alternate interior angles, angle DCB = 109 degrees.

DCB and angle m are same side interior, so m = 180 - 109 = 71