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igor_vitrenko [27]
3 years ago
10

ABCD is a quadrilateral Calculate the value of x A=2x B=90 C=x D=3x

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0

Answer:

X=45

Step-by-step explanation:

Sum of all angles is 360, so we have

2x+90+x+3x=6x+90=360

6x=270

X=45

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Find the equation of a line tangent to the circle (x−1)^2+y^2=26 at the point (2, −5).
77julia77 [94]

Center of circle is ( 1, 0).

Slope of normal passing though ( 1, 0 ) and ( 2, -5 ) is :

m_p=\dfrac{0-(-5)}{1-2}\\\\m_p=-5

So, slope of tangent will be :

m_t=-\dfrac{1}{m_n}\\\\m_t=\dfrac{1}{5}

Equation of tangent :

y-(-5)=\dfrac{1}{5}(x-2)\\\\5y+25=x-2\\\\5y-x+27=0

Hence, this is the required solution.

6 0
4 years ago
In parallelogram RSWY, find m
LuckyWell [14K]

Answer:

Part A) m\angle R=110^o

Part B) m\angle S=70^o

Step-by-step explanation:

we know that

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

step 1

Find the value of x

we know that

m\angle R=m\angle W ----> by definition of parallelogram (opposite angles are congruent)

substitute the given values

(5x-90)^o=(2x+30)^o

solve for x

5x-2x=30+90\\3x=120\\x=40^o

step 2

Find the measure of angle R

m\angle R=(5x-90)^o

substitute the value of x

m\angle R=(5(40)-90)=110^o

step 3

Find the measure of angle S

we know that

m\angle R+m\angle S=180^o ---> by definition of parallelogram (consecutive angles are supplementary)

we have

m\angle R=110^o

substitute

110^o+m\angle S=180^o

m\angle S=180^o-110^o

m\angle S=70^o

8 0
3 years ago
Can you help me find the value of X?
Rashid [163]

Answer:

  x ≈ 4.1 cm

Step-by-step explanation:

The side (z) opposite the 42° triangle can be found from the relation ...

  z/(3.6 cm) = tan(42°)

  z = (3.6 cm)·tan(42°) ≈ 3.2415 cm

The relationship between z and x is ...

  z/x = cos(38°)

  x = z/cos(38°) ≈ 4.1135 cm

  x ≈ 4.1 cm

7 0
3 years ago
Complete the explanation on how you can use base-ten blocks to find 1.59 + 2.18. First
Andreyy89

Answer:

Let us consider we are given.1.54 and 2.37.

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Step-by-step explanation:

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3 years ago
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Answer:

20 days

Step-by-step explanation:

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