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Tanya [424]
3 years ago
10

Help with this and show steps, please!!!!!!

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

A

Step-by-step explanation:

The figure has two disjoint pairs of consecutive sides which are congruent.

Thus the figure is a Kite

Using the properties of a Kite

• The diagonals are perpendicular

• The main diagonal diagonal bisects the pair of opposite angles

Hence ∠1 = 90° ( diagonals are perpendicular )

The angle 22° is a bisected angle so the angle below is also 22°

The sum of the 3 angles in a triangle = 180°, hence

∠2 = 180° - (90 + 22)° = 180° - 112° = 68°

The solution is A




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How many different permutations can you make with the letters in the word s e v e n t e e n ? A. 7,560 B. 17! C. 15,120 D. 3,780
Bess [88]

I'm not 100% sure if I'm doing it the right way, but I think the answer is the factorial of the number of letters divided by the factorials of the number of elements of each kind of element (in this case, the same letters)


9!/1!4!1!2!1!

= 9 · 8 · 7 · 6 · 5 · 4!/4!2!

= 9 · 8 · 7 · 6 · 5/2

= 9 · 4 · 7 · 6 · 5

= 63 · 120


= 7,560 permutations

8 0
3 years ago
Read 2 more answers
Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 meters
GREYUIT [131]

Step-by-step explanation:

this creates 2 similar triangles.

that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

her shadow is 23.05 - 18.9 = 4.15 m long.

the factor between the shadow lengths is then

4.15 × f = 23.05

f = 23.05 / 4.15 = 5.554216867...

the same factor now applies to the relation of the heights :

1.45 × 5.554216867... = 8.053614458... m

rounded the tree is 8.05 m tall.

5 0
2 years ago
What is 2 multiplying by 10
notsponge [240]
The answer is 20 because any number multiplied by 10 is going to be the same number but with a zero to the right of it for example 20 times 10 is 200 because u just add the zero to the right of the number have a great day
7 0
2 years ago
Write 6×10 to the power of 4 in standard form!<br> Please include an explanation!<br> Thanks!
lidiya [134]

Answer:

60,000

Step-by-step explanation:

Evalute

6 x 10*4

6 x 10,000

60,000 is the standard form :)

3 0
2 years ago
Read 2 more answers
Help with this please
aliina [53]
AB = 6 cm, AC = 12 cm, CD = ?

In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.

Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°

In order to find ∠BCA, use the law of sines:
 
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA

Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°

Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°

In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.

12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
3 0
3 years ago
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