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3 years ago

Patrick went cycling one weekend.

1 answer:

8 0

For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))

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Complete the proof given below.

allochka39001 [22]

Given that the opposite sides of a parallelogram are congruent, a diagonal

of the parallelogram forms two congruent triangles.

The correct options to complete the proof are;

<u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram

<u>Reflexive property of congruency</u>

<u>SSS</u>

Reasons:

The completed two column proof is presented as follows;

Statement ${}$ Reason

1. ABCD is a parallelogram ${}$ 1. Given

2. $\overline{AB}$ ≅ $\overline{DC}$ and $\overline{BC}$ ≅ $\overline{DA}$ ${}$ 2. <u>Opposite sides of a parallelogram</u>

3. $\overline{AC}$ ≅ $\overline{CA}$ ${}$ 3. <u>Reflexive property of congruency</u>

4. ΔABC ≅ ΔCDA ${}$ 4. <u>SSS</u>

The correct options are therefore;

<u>Opposite sides of a parallelogram;</u> ABCD is a parallelogram

Reflexive property of congruency

SSS;

Reason 2. Opposite sides of a parallelogram, which is based on the

properties of a parallelogram and that ABCD is a parallelogram.

Reason 3. The reflexive property of congruency, states that a side is

congruent to itself.

Reason 4. SSS is an acronym for Side-Side-Side, which is a congruency

postulate that states that if the three sides of one triangle are equal to the

three sides of another triangle, then the two triangles are congruent.

Learn more about parallelograms here:

brainly.com/question/4218263

brainly.com/question/21390857

8 0

2 years ago

I have tried this question for several times but i cant <br>help me please

vlabodo [156]

Answer:

a) Rs. 2425.55, Rs. 2626.36 (2 d.p.)

b) Rs. 1320

Step-by-step explanation:

Please see the attached pictures for the full solution.

5 0

3 years ago

Read 2 more answers

HELP ME PLEASE!!!!

kykrilka [37]

Answer:

option A

(1.5,1.2)

Step-by-step explanation:

Given in the question two equations

Equation 1

y = √x

Equation 2

y = x²- 1

Equate both equations

√x = x²- 1

<h3>1 method </h3><h3>by plotting graph</h3>

We can see from the graph that both meets when x = 1.5 and y = 1.2

<h3>2 method </h3>

we can plug the options given one by one to see which points satisfy

one thing we know is that x ≠ any negative value since

y = √x and square root of negative value is not possible

so option b and c are rejected

option A

√1.5 = y = 1.2

1.5²- 1 = y = 1.2

5 0

3 years ago

brian family drinks a gallon of milk in three days how much gallons of milk will brian family drink in five days

Otrada [13]

To calculate this, we have to establish a proportion :

If 1 gallon of milk is drunk in 3 days,

X gallons will be drunk in 5 days

X gallons = 1 gallon*5days/3days = 1.66 gallons will drink in 5 days.

We can round to the first decimal place 1.66 ≈ 1.7 gallons approximately.

Answer : 1.7 gallons will Brian family drink in five days, approximately.

Hope this helps!

$\textit{\textbf{Spymore}}$

6 0

3 years ago

Can y’all help me write this down?

Reil [10]

Answer:

below

Step-by-step explanation:

$\frac{(-3)}{7}$ and $-(\frac{3}{7} )$
$\frac{-5}{9}$ and $-(\frac{5}{9})$

4 0

3 years ago