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Paladinen [302]
3 years ago
13

Work out the size angles x,y and z​

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

x = y = 14

z = 70

Step-by-step explanation:

As we can see from the markings, x = y

So we have an isosceles triangle in ABD

the sum of angles in a triangle is 180

52 + x + y = 180

x + y = 180-52

x + y = 28

so since x = y

x = y = 14

To get z, we have that;

52 + z + 14 + 44 = 180

z + 110 = 180

z = 180-110

z = 70

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The sum of the ages of the father and son is 44 years .After 8 years the age of the father will be twice the age of the son . Fi
Vadim26 [7]

Step-by-step explanation:

Let the present age of father = x years

and the present age of son = y years

according to the first condition

x + y =44 ........(i)

according to the second condition

x+8 = 2(y+8)

or x+ 8 = 2y + 16

or x- 2y = 8 ............(ii)

solve the equation (i) & (ii) we get

x + y =44

x- 2y = 8

••••••••••••••••••••••••

3y = 36

or y = 12

put the value of y in equation (i), we get

x + 12 =44

or x = 32

so the present age of father = x =32 years

and the present age of son = y = 12 years.

8 0
3 years ago
Passing through (1,9),slope=2
Natalka [10]
Passes through (1, 9) with a slope of 2.

Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)

To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.

y = mx + b

Plug everything in.

9 = 2(1) + b

Simplify.

9 = 2 + b

Subtract 2 from both sides.

9 - 2 = b

b = 7

Therefore, our y-intercept is 7! :)

Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.

y = mx + b

y = 2x + 7

~Hope I helped!~
5 0
4 years ago
Read 2 more answers
Order the following numbers from least to greatest <br> -9/2<br> 0<br> 1 3/5<br> 9/7<br> 2/3
marysya [2.9K]

\frac{-9}{2}

0

\frac{2}{3}

\frac{9}{7}

1\frac{3}{5}

3 0
3 years ago
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Given two angles that measure 50° and 80° and a side that measures 4 feet, how many
Ira Lisetskai [31]

Answer:

i think i could be an acute angle idrk

Step-by-step explanation:

7 0
3 years ago
According to the general equation for conditional probability, if P(A upside down u B)= 5/7 and P(B)=7/8 , what is P(A|B)?
natta225 [31]
P(A | B) = \frac{P(A \cap B)}{P(B)}


P(A|B) = \frac{5/7}{7/8}


P(A|B) = \frac{5}{7} \div \frac{7}{8}


P(A|B) = \frac{5}{7}\times\frac{8}{7}


P(A|B) = \frac{5*8}{7*7}


P(A|B) = \frac{40}{49}
7 0
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