Does anyone know the answer to both of these questions??

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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Answer:

(0,4,8,12)

Step-by-step explanation:

Range is all the y values.

Answer:

A

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

x= -9

Step-by-step explanation:

-x+3=2(x+15)

-x+3=2x+30

-x-2x+3=30-3

-3x=30-3

-3x=27

x= -9

Answer:

C

Step-by-step explanation:

Option C is the set of domain

Given parameters:

Measure of Angle R = 47°

Operation on the angle; rotated through 180°

Unknown:

what is angle R now= ?

Solution:

    Angle R was originally an acute angle which was 47°;

 And an additional 180° rotation will produce;

  New Angle R  = 47 + 180 = 227°

The new dimension of the angle is 227°

Answer:

8,6

Step-by-step explanation:

Answer:

34000000

Step-by-step explanation:

Answer:

34000000

Step-by-step explanation:

170000000*20%

=34000000

Answer: You add 4+2/5 then multiply it times 2.5

Step-by-step explanation:

If you Evaluate it your answer will be: 11 = -13

Answer:

shrek

Step-by-step explanation:

the answer to everything is shrek

Answer:

x = 9

Step-by-step explanation:

5+ 2/3x= -x+20.

Add x to each side

5+ 2/3x +x= -x+x+20

5 + 2/3x+3/3x = 20

5 + 5/3x = 20

Subtract 5 from each side

5+5/3x -5 = 20-5

5/3x = 15

Multiply each side by 3/5

3/5 * 5/3x = 15*3/5

x = 9

Answer:

Step-by-step explanation: 5+2/3x= -x+20

-5. -5

2/3x= -x +15

+x +x

1 2/3x/1 2/3 = 15/1 2/3

X=9

Answer:

Step-by-step explanation:

Hello,

let s regroup the terms

2ax - 15 = 3(x + 5) + 5(x - 1) *** add 15 to both sides ***

<=> 2ax = 15 + 3x + 15 + 5x - 5 *** develop to remove the parentheses***

<=> 2ax = 8x + 25 *** simplify ***

<=> (2a-8)x = 25 *** subtract 8x from both sides ***

<=> (a-4)x=25/2 *** divide by 2 both sides ***

There is no solution is a-4 = 0 ,

because it would mean 0 = 25/2 and this is not possible

So it gives a = 4

Thanks

In the case when no value of x satisfies the equation so there the value of a should be 4.

Since

the equation is  

2ax - 15 = 3(x + 5) + 5(x - 1)

2ax = 15 + 3x + 15 + 5x - 5

2ax = 8x + 25

(2a-8)x = 25

So a = 4

hence, In the case when no value of x satisfies the equation so there the value of a should be 4.

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Answer:

h(x) = 4x - 1

Step-by-step explanation:

h(x) = f(x) + g(x)

      = 5x + 2 - x - 3 ← collect like terms

       = 4x - 1

Answer:

4x-1

Step-by-step explanation:

h(x)=5x+2+ (-x-3)

h(x) = 5x+2-x-3

h(x)=5x-x+2-3

h(x)=4x-1

Answer:

40.

Step-by-step explanation:

Look on the graph under minutes and go to minute one and in one minute it can make forty. just go straight up to until you reach the line.

Can I have brainlliest? Hope it helps.

Answer:

30

Step-by-step explanation:

Answer:

190.5 centimeters

Step-by-step explanation:

I think it's that. Hope it's right! :)

Answer:

2) 41-2x

Step-by-step explanation:

41-2x

Answer:

7

Step-by-step explanation:

Because 7+3= 10, Please tell me if my answer is wrong

Answer: 7

Explanation:

Because 7+3=10

Answer:

no solution

Step-by-step explanation:

It's no solution because the first step to do is to subtract 9 from both sides which would give you x=x-18 but now your stuck here because if you subtract x from both sides then you wont have an x so this equation has no solution

Answer:

No solution

Step-by-step explanation:

Answer:

8.20in³

Step-by-step explanation:

Given V = πr²h

r is the radius = 1.5in

h is the height = 6in

thickness of wall of the cylinder dr = 0.04in

top and bottom thickness dh 0.07in+0.07in = 0.14in

To compute the volume, we will find the value of dV

dV = dV/dr • dr + dV/dh • dh

dV/dr = 2πrh

dV/dh = πr²

dV = 2πrh dr + πr² dh

Substituting the values into the formula

dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14

dV = 2π (0.36)+π(1.89)

dV = 0.72π+1.89π

dV = 2.61π

dV = 2.61(3.14)

dV = 8.1954in³

Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)

Answer:

y = 25

X = 25/2 is the value of X an dy

Answer:

x=5

y=10

Step-by-step explanation:

4x-2y=0

-x-2y=-25

subtract

5x=0-(-25)

5x=25

x=25/5=5

-5-2y=-25

2y=-5+25

2y=20

y=20/2=10

Answer:

A

Step-by-step explanation:

I think

Answer:

66 tens

Step-by-step explanation:

66 hundreds is 6600, and if you divide it by 10, you get 660, or 66 tens.

Answer:

25 miles per gallon

Step-by-step explanation:

hope that's what you were looking for

Answer:

4.7 years

Step-by-step explanation:

Distance of planet from Earth = 1.3 parsec

We know that 1 parsec = 3.26 light years

And a light year is the distance traveled by light in time period of 1 year.

So, Distance of planet from Earth = 1.3 [tex]\times[/tex] 3.26 = 4.24 light years

Given that, the person travels at a speed equal to 90% of the light speed.

To travel to the planet from Earth, Light takes 4.24 years.

To travel the distance [tex]D[/tex], at a speed [tex]s[/tex] light takes time of 4.24 years.

To travel the distance [tex]D[/tex], at a speed [tex]0.90s[/tex], the person takes time:

[tex]\dfrac{4.24}{0.90} = \bold{4.7\ years}[/tex]

So, the twin on Earth ages by 4.7 years.

Answer:

4.7 years

Step-by-step explanation:

Answer:

Sadie:44 Kerry:39 mark:37

Step-by-step explanation:

(5+w) + w + (w-2)=120

-5 from both sides

w+w+(w-2)=115

+2 from both sides

w+w+w=117

117/3 = w

Answer:

10

Step-by-step explanation:

Answer: B. 6

Step-by-step explanation:

The percentage is 52% and the fraction is 13/25

Answer:

2. 17686.98

3. 1007.81

Step-by-step explanation:

Just add the numbers all together and there's your sum.

Answer:

90.7yrs.  

Step-by-step explanation:

Given parameters:

Amount borrowed  = $2450

Interest rate  = 3.5%

Amount repaid = $3221.75

Unknown:

Number of years the load was paid  = ?

Solution:

The formula of simple interest;

    I = PRT

Where I is the interest

           P is the principal

          R is the rate

          T is the time

  To find the interest;

    Interest = Amount paid back - loan  = 3221.75 - 2450  = 771.75

Now;

     P = IRT

     2450  = 771.75 x [tex]\frac{3.5}{100}[/tex]  x T

     2450 = [tex]\frac{2701.25T}{100}[/tex]

    T = [tex]\frac{245000}{2701.125}[/tex]   = 90.7yrs

The number of years of the loan period was 90.7yrs.