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Nostrana [21]
3 years ago
7

ABCD is a quadrilateral. AB = 8cmCD = 13cmAD = 6cmC = 29°Work out angle X. ​

Mathematics
1 answer:
prisoha [69]3 years ago
3 0

Answer:

sorry kailangan ko ng points

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Help with 21 would be much appreciated.
umka2103 [35]

Answer:

\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD=14-8=6\\CD=y\\DB=8

Substitute:

\dfrac{6}{y}=\dfrac{y}{8}         <em>cross multiply</em>

y^2=(6)(8)

y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}

For x use the Pythagorean theorem:

x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}

3 0
3 years ago
The ratio of girls to boys in the photography club is 7 to 3. Which ratio could represent the members of the photography club?
MA_775_DIABLO [31]

Answer:

C) 21 girls : 9 boys

Step-by-step explanation:

You just have to compare the ratio you're given to the answers and see if the ratios from the answers match up to the ratio you were given. The reason C is the answer is because if you divide by 3 in the ration, it is the same as the ratio you were given, 7:3

8 0
3 years ago
Diagram 7 shows a regular hexagon UVWXYZ.
OLEGan [10]

Answer:

option d is the correct answer

Step-by-step explanation:

use formula for finding sum of all interior angles of regular polygon i.e. (n-2)×180 where n is no of sides of regular polygon then divide it by no. of sides of regular polygon to find measure of one angle of regular polygon and then subtract it from 180° to find the answer

8 0
3 years ago
Angela and Juan went to the ice cream store where ice cream cones cost $0.90 each and ice cream bars cost $0.75 each. They spend
yarga [219]
4 x 0.90 = £3.60
£13.50 - £3.60 = £9.90
0.9 + 0.75 = £1.65
£9.90/£1.65 = 6
They bought 6 ice cream cones
6 0
3 years ago
For right triangle , triangle rst shown below, what is tan r
-Dominant- [34]

You know, it would really be helpful if we could have a peek at
the picture that's "shown below".  Just a peek would be enough. 
Right now, the only thing I see below is my dog.

Now ... follow me here ... if you're looking for tan(r), then 'r' is
one of the angles in the triangle, and I'm guessing that all three
of those letters are angles.

tan(r)  is going to be the ratio of two of the sides ... I mean

                             (one side) divided by (another side).

There's no way to go any farther, because you haven't given us
any names for the sides, or any way to describe them.

Betcha the names of the sides are on that picture that's supposed
to be shown below.

8 0
3 years ago
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