Help me ....urgant!!! solve this plz

AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha

Kruka [31]

Answer:

The given quadrilateral is a parallelogram.

Step-by-step explanation:

If a quadrilateral is a parallelogram , then the opposite sides would be equal.

Here we are going to equate the length of 1 pair of opposite sides to find the value of x and use this value of x to verify whether the other pair of opposite sides are equal.

AB = 6x

BC = 3x

DC = x + 15

AD = 9

Equate AB and CD,

6x = x + 15

5x = 15

x = 3

Now BC and DA should be equal.

BC = 3x = 9

Also DA = 9

As we can see, the other pair of opposite sides are also equal.

Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent.

Hence , the given quadrilateral is a parallelogram.

5 0

4 years ago

7. Saturday night, Larry is attending the concert of his favorite rock band. Tickets were $250 plus 6% tax. Parking is $20 for t

ElenaW [278]

Answer:

$347.45

Step-by-step explanation:

total = tickets + parking + t shirt + meal

tickets = 250 + 6% tax

6% tax is of 250, so this is equal to

250 + 6% of 250

6% = 0.06 because we divide by 100 to convert to a decimal from a percentage

thus, tickets = 250 + 0.06 of 250 = 250 * 1 + 0.06 * 250 + 1.06 * 250 = 265

parking = 20

use a similar strategy from the tickets and apply that to the t shirt

t shirt = 35 + 7 % tax = 35 + 0.07 * 35 = 1.07 * 35 = 37.45

meal = 25

total = 265 + 20 + 37.45 + 25 = $347.45

6 0

2 years ago

I’m rohmbus ABCD, AB= 14 and AC= 26. Find the area of the rhombus to the nearest tenth.

Effectus [21]

The complete question in the attached figure
we know
In a rhombus ABCD , AC = 26 , AB = 14
the diagonals of a rhombus are perpendicular bisectors of each other
AX = XC = 13. triangle ABX is a right triangle with hypotenuse 14.

From the pythagoras theorem AB² = AX² + BX²

14² = 13² + BX²

196 = 169 + BX²

27 = BX²----- > BX=√27

BX = 5.20

Area of ABX triangle=(1/2)*5.2*13=33.77

The four triangles formed by construction of the diagonals are all congruent since the diagonals are perpendicular bisectors.

Total area of the rhombus is 4 times of ABX triangle

Area = 4* 33.77=135.10 units²

the answer is the option D) 135.1 units ²

6 0

3 years ago

We have two varieties of concrete that we can mix together. One is 5% water and 95% concrete mix, and the other is 20% water and

Orlov [11]

Answers:

20 pounds of the 95% concrete mix
10 pounds of the 80% concrete mix

=================================================

Explanation:

x = amount of the 95% concrete mix

y = amount of the 80% concrete mix

Type A mix has 95% concrete. If we have x pounds of this, then 0.95x pounds is pure concrete. Type B mix has 80% concrete. If there are y pounds of this, then 0.80y pounds is pure concrete.

So far we have 0.95x+0.80y pounds of pure concrete from the two mixes

Divide this over 30 to get (0.95x+0.80y)/30

Setting this equal to 0.90 means we want the final mix to be 90% concrete.

Since we want 30 pounds total, we can say x+y = 30 which solves to y = 30-x. We'll use this later

-------------------------------

(0.95x+0.80y)/30 = 0.90

0.95x+0.80y = 30*0.90 .... multiply both sides by 30

0.95x+0.80y = 27

0.95x+0.80(30-x) = 27 ..... plug in y = 30-x

0.95x+0.80*30-0.80*x = 27

0.95x+24-0.80x = 27

0.15x+24 = 27

0.15x = 27-24 ..... subtracting 24 from both sides

0.15x = 3

x = 3/0.15 ........... dividing both sides by 0.15

x = 20

y = 30-x

y = 30-20

y = 10

5 0

3 years ago

Cassidy wrote the linear equation y=5x+4. Then, she wrote the equation of the line that is parallel to y=5x+4 and that passes th

Sphinxa [80]

All you need to do is plug in the point.
y=5x+b
(-2) = 5(8) + b
-2 = 40 + b
b = -42

3 0

3 years ago

Help me ....urgant!!! solve this plz​

Help me ....urgant!!! solve this plz