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IRINA_888 [86]
2 years ago
5

Alvin is 13 years younger than Elga. The sum of their ages is 27. What is Elga's age?

Mathematics
2 answers:
Elena L [17]2 years ago
8 0

Step-by-step explanation:

Let A be Alvin's age and E be Elga's age

A + E = 27

also A + 13 = E

Substitute for A in the first equation

E -13 + E = 27

2E = 40

E = 20, so Elga is 20 years old and Alvin is 7.

omeli [17]2 years ago
5 0

Answer:

14

Step-by-step explanation:

27-13

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A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10m greater than the other side.
DanielleElmas [232]

Answer:

The length of the fence needed to surround this garden is 188 meters.

Step-by-step explanation:

Given : A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10 m greater than the other side.

To find : The length of the fence needed to surround this garden if the area of the vegetable garden is 2184 m² ?

Solution :

Let the one side of rectangle be 'x'.

Then the other side is 'x+10'.

The area of the rectangle is 2184 m²,

i.e. x(x+10)=2184

x^2+10x-2184=0

Solve by middle term split,

x^2+52x-42x-2184=0

x(x+52)-42(x+52)=0

(x+52)(x-42)=0

x=-52,42

Reject negative value,

The side of the rectangle is 42 m.

The other side is 42+10=52 m

The perimeter of the rectangle is P=2(l+b)

P=2(42+52)

P=2(94)

P=188

Therefore, the length of the fence needed to surround this garden is 188 meter.

5 0
3 years ago
Given: S is the midpoint of QR, QR¯⊥PS¯ and ∠RSP and ∠QSP are right angles.<br><br> Prove: PR≅PQ
tigry1 [53]

ΔRSP ≅ ΔQSP by SAS. Therefore, PR ≅ PQ by CPCTC theorem.

<h3>What is the CPCTC Theorem?</h3>

If two triangles are congruent, the CPCTC theorem states that all corresponding parts of the two triangles would also be congruent to each other.

Since S is the midpoint of QR, therefore, RS ≅ QS (one pair of congruent sides)

∠RSP ≅ ∠QSP [right angles] (one pair of congruent included angles)

SP ≅ SP based on the reflexive property (one pair of congruent sides)

Therefore, ΔRSP ≅ ΔQSP by SAS.

Conclusively, PR ≅ PQ by CPCTC theorem.

Learn more about the CPCTC theorem on:

brainly.com/question/6076251

#SPJ1

5 0
2 years ago
The sum of two numbers is -80. One number is 3 times the other number. Find the numbers.
Alborosie
A) x + y = -80
B) 3x = y

x + 3x = -80
4x = -80
x = -20
y = -60

7 0
3 years ago
sylvie needs $110 for a concert ticket. she already has $ 16 and she can earn the rest by working 10 hours at her job. if h repr
n200080 [17]

Given, Sylvie needs $110 for a concert ticket.

Sylvie has $16.

Her hourly earnings = $h

Sylvie is working 10 hours at her job.

She is getting in 1 hour = $h

So, 10 hours she will get = $ = $

So the total amount she has now = $16 + $(10h) = $()

So we can write the equation as,

110=16+10h

We can move 16 to the left side also. 16 is added to the right side. We can move it by using reverse operation of addition. Reverse operation of addition is subtraction. So we will subtract 16 from both sides. Subtracting 16 we will get,

110-16=16+10h-16

110-16=10h

We have got the required answer.

To find Sylvie's hourly income the correct options are option A and option D.

4 0
3 years ago
Read 2 more answers
Type the correct answer in the box.
zhenek [66]

Using Excel formulas

 =LARGE(A1:A20, 1)/COUNT (A1:A20)

 Count (Ai:An) Function that allows to count the total number of values in a cells range between Ai and An that contain only numbers.

 Large (Ai:An, k) Function that allows to find the value of the largest number in a cells range between Ai and An, the number k determine the k-th largest value

8 0
3 years ago
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