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anygoal [31]
3 years ago
9

Una familia está conformada por el padre, la madre, el hijo y la hija, el padre tiene el doble de la edad del hijo, la madre tie

ne 6 años menos que el padre, la hija tiene 5 años más que el hijo. sumando sus edades dan 106. calcular que edad tienen cada uno.
Mathematics
2 answers:
Jlenok [28]3 years ago
8 0

Answer:

PADRE=36 AÑOS - MADRE=30 AÑOS - HIJA=23 AÑOS - HIJO= 18 AÑOS

Mariulka [41]3 years ago
3 0

Answer:

Step-by-step explanation:

First off, this wouldn't make sense for a girl to be older than her mother or her father.

Second, mother is x years old. The girl is 2x years old. The father is x+5 years old. Total sum = 100.

So, we need to solve for x first.

2x + x + x+5 = 100

4x + 5 = 100

4x = 95

4x ÷ 4 = 95 ÷ 4

x = 23.75

Mother is 23 and 3 quarters, turning 24.

Daughter is 23.75 × 2 = 47 1/2 years old.

And the Father is 28 and 3 quarters, turning 29.

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Step-by-step explanation:

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If the measure of angle BCD=51 degrees, solve for x.
BabaBlast [244]

Answer:

x=5

Step-by-step explanation:

step 1

Find the measure of angle EFD

In this problem I will assume that ABCD is a parallelogram

In a parallelogram opposite angles are congruent and consecutive angles are supplementary

so

m\ angle BCD=m\angle BED=51^o

m\ angle FED=(1/2)m\angle BED=(1/2)51^o=25.5^o --- > given problem

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EFD

m\ angle FED+m\ angle FDE+m\ angle EFD=180^o

substitute the given values

25.5^o+55^o+m\ angle EFD=180^o

80.5^o+m\ angle EFD=180^o

m\ angle EFD=180^o-80.5^o

m\ angle EFD=99.5^o

step 2

Find the measure of angle EFB

we know that

m\angle EFB+m\angle EFD=180^o ---> by supplementary angles

we have

m\ angle EFD=99.5^o

substitute

m\angle EFB+99.5^o=180^o

m\angle EFB=180^o-99.5^o

m\angle EFB=80.5^o

step 3

Find the value of x

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

In the triangle EBF

m\ angle BEF+m\ angle EFB+m\ angle EBF=180^o

we have

m\angle BEF=m\ angle FED=25.5^o

m\angle EFB=80.5^o

m\angle EBF=(14x+4)^o

substitute

25.5^o+80.5^o+(14x+4)^o=180^o

solve for x

Combine like terms

(14x+110)^o=180^o

14x=180-110

14x=70

x=5

4 0
3 years ago
2. Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D. Which rule best rep
Virty [35]

Answer:

(x,y) => (2.5x,2.5y)

Step-by-step explanation:

Given

See attachment for ABCD and A'B'C'D'

Required

Determine the dilation rule

Using AB and A'B' as points of references;

AB = (-1,2)\ to\ (2,1)

A'B' = (-2.5,5)\ to\ (5,2.5)

The dilation factor (k) is calculated as:

k = \frac{A'B'}{AB}

This gives:

k = \frac{(-2.5,5)}{(-1,2)} \ or\ k = \frac{(5,2.5)}{(2,1)}

Factorize

k = \frac{2.5*(-1,2)}{(-1,2)} \ or\ k = \frac{2.5*(2,1)}{(2,1)}

k = 2.5 \ or\ k = 2.5

Hence, the scale factor is 2.5

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(x,y) => k(x,y)

(x,y) => 2.5(x,y)

(x,y) => (2.5x,2.5y)

3 0
3 years ago
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bogdanovich [222]
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Same for this question. Find a number that, when factored, will give you -10

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hope this helps
7 0
3 years ago
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