All categories

3 years ago

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

Mathematics

1 answer:

Stels [109]3 years ago

7 0

Answer:

SAS postulate

Step-by-step explanation:

In the figure attached, quadrilateral ABCD is shown.

The Side Angle Side (SAS) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AB is congruent to DC, and DB is the side common to triangles ABD and BCD. The included angle between sides AB and DB is angle ABD which is congruent with angle BDC, the angle included between sides DB and DC.

You might be interested in

Evaluate the expression 3(7 + 4)2 − 24 ÷ 6

solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3(7 + 4)2 − 24 ÷ 6 = 3(11)2 − 24 ÷ 6 = 66 − 24 ÷ 6

Next, we solve divide,

66 − 24 ÷ 6 = 66 - 4

Next, solving the subtraction, 66 - 4 = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0

3 years ago

Find the distance between (-2, 8) and (11, 2). Round to the nearest hundredth.

MakcuM [25]

Answer:

14.32

Step-by-step explanation:

We can find the distance using the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We then substitute (-2,8) as $(x_1,y_1)$ and (11,2) as $(x_2,y_2)$ .

$d=\sqrt{(11--2)^2+(2-8)^2} \\d=\sqrt{(13)^2+(-6)^2} \\d=\sqrt{169+36}\\d=\sqrt{205}=14.32$

6 0

3 years ago

A rectangle is reduced by a scale factor of One-fourth.

Dvinal [7]

The ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A = length * width

For the large triangle

Area = 16 * 12

Area of large triangle = 192 square units

For the smaller rectangle

Area = 4 * 3

Area. of small rectangle = 12 square units

Ratio = 12/192 = 1:16

Hence the ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16

Learn more on area of rectangle here: brainly.com/question/25292087

#SPJ1

6 0

2 years ago

Help me again please 2(36-4t) t= 3.4

olasank [31]

Since we know that t = 3.4 you put 3.4 where the t is.

2 (36 - 4 × 3.4) So what you do first is multiply 4 and 3.4 which gives you 13.6

2 (36 - 13.6) then you subtract 36 and 13.6 which gives you 22.4

2 (22.4) then you multiply 2 and 22.4 which is 44.8.

So your answer is 44.8

I hope that helped!

3 0

3 years ago

A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarter

Lilit [14]

The balance after ten years is $2,208.04.

When an amount of money is compounded quarterly, it means that the amount deposited and the interest earns interest every quarter. The formula that can be used to determine the balance in 10 years is:

FV = P (1 + r)^nm

FV = Future value
P = Present value = $1000
R = interest rate = 8%/4 = 2%
m = number of compounding = 4
N = number of years = 10

$1000 x (1.02)^40 = $2,208.04

To learn more about future value, please check: brainly.com/question/18760477

7 0

2 years ago