All categories

3 years ago

OOI ANSWER THIS RQ~~~~~

Mathematics

1 answer:

pychu [463]3 years ago

4 0

Answer:

$m\angle B=65\°$

$m\angle C=140\°$

Step-by-step explanation:

From the figure ABCD given:

$BC=CD$

$AB=AD$

$m\angle A=90\°$

$m\angle D=65\°$

The given figure ABCD is a kite as it fulfills the properties of a kite.

The properties of kite are:

1) It is 4 sided

2) It has 2 pairs of equal sides adjacent to each other.

3) The angles formed between the 2 pairs of sides is equal.

By the 3rd property of kite stated above:

$m\angle B=m\angle D$

Given $m\angle D=65\°$

∴ $m\angle B=65\°$

Sum of interior angle of a quadrilateral = 360°

So, we have $m\angle A+m\angle B+m\angle C+m\angle D=360\°$

Plugging in values of the angles known.

$90\°+65\°+m\angle C+65\°=360\°$

$m\angle C+220\°=360\°$

Using subtraction property of equality, we have

$m\angle C=360\°-220\°$

∴ $m\angle C=140\°$

You might be interested in

Miguel’s savings account balance changed by -$48 over a year because a banking fee was withdrawn every month. He wants to find t

nekit [7.7K]

Answer:

-48 ÷ 12

Step-by-step explanation:

account balance changed over a year = -$48

In a year, there are 12 months. Above statement can also be written as

account balance changed in 12 months = -$48

we have to find monthly change, so we divide LHS and RHS by 12

account balance changed in 12 /12 months = -$48/12

Thus, account balance changed in 1 months = -$48/12

which is represented option 4 i.e -48 ÷ 12

3 0

4 years ago

Suppose you bought supplies for a party. Three rolls of streamers and fifteen party hats cost $30. Later, you bought two rolls o

ZanzabumX [31]

The cost of 1 part hat is $ 1.5 and cost of 1 roll of streamer is $ 2.5

Solution:

Let "c" be the cost of each rolls of streamer

Let "p" be the cost of each party hats

Three rolls of streamers and fifteen party hats cost $30

Therefore, we frame a equation as:

Three rolls of streamers x cost of each streamer + fifteen party hats x cost of each party hats = 30

$3 \times c + 15 \times p = 30$

3c + 15p = 30 -------- eqn 1

Later, you bought two rolls of streamers and four party hats for $11

Thus we frame a equation as:

$2 \times c + 4 \times p = 11$

2c + 4p = 11 ------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

6c + 30p = 60 ------ eqn 3

Multiply eqn 2 by 3

6c + 12p = 33 -------- eqn 4

Subtract eqn 4 from eqn 3

6c + 30p = 60

6c + 12p = 33

( - ) --------------

18p = 27

p = 1.5

Substitute p = 1.5 in eqn 2

2c + 4(1.5) = 11

2c + 6 = 11

2c = 5

c = 2.5

Thus cost of 1 part hat is $ 1.5 and cost of 1 roll of streamer is $ 2.5

3 0

3 years ago

If RS= 5 , RT = 12 , ST = 7 , and points R, S, and T are collinear, what is the relationship between points R , S , and T ?

Mekhanik [1.2K]

The relationship between points R , S , and T is that the sum of the RS and RT will be equal to RT that is RT=RS+ST

<h3>What are collinear points? </h3>

Collinear points are defined as the points which lie on the same line. Here we have three points R, S and T that are collinear.

We have the length equal to:

RS=5, RT=12 ST=7

So we can set the relationship as the sum of the RS and RT will be equal to RT.

So the relation will be given as:-

RT=RS+ST

hence the relationship between points R , S , and T is that the sum of the RS and RT will be equal to RT that is RT=RS+ST

To know more about collinear points follow

brainly.com/question/13071707

#SPJ1

4 0

3 years ago

Solve for b a=b-4/c

Agata [3.3K]

Answer:

Rewrite the equation as

Subtract

from both sides of the equation.

−

Divide each term by

and simplify.

Tap for more steps...

−

Step-by-step explanation:

6 0

3 years ago

Write an equation in slope intercept form of the line that passed through (7,2) and (2,12)

Sonbull [250]

Answer:

y= -2 x + 16

Step-by-step explanation:

bloop! hope it helps

6 0

4 years ago