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Paladinen [302]
3 years ago
9

Can someone help me with this question? I need the statement reasoning! Thank you so much I will mark brainliest!

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
7 0
Triangle ABD and triangle CDB are similar because:
-it is given that angle A and angle C are equal, both 90
-angle ABD and angle CDB are equal because they are alternate interior angles
- side DB and side DB are the same length
- two triangles are equal because of AAS
kupik [55]3 years ago
4 0

Answer:

As per HL Postulate the triangles are congruent

Step-by-step explanation:

Given: m∠A = m∠C = 90° and  AD = CB

Prove: ΔABD ≅ ΔCDB

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

Since angles A and C are right angles, ΔABD and ΔCDB are right triangles

DB is common side, so

  • DB ≅ BD
  • AD ≅ CB is given
  • ∠DAB ≅ ∠ BCD given

As per HL Postulate if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent

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6 0
3 years ago
Read 2 more answers
Fraction that is smaller than -2^1^3
lapo4ka [179]
Isn't it 1/8?
I hope this helped i think i just simplified xD

7 0
3 years ago
Several students were asked to name the kinds of animals they saw in the past week at the park. Determine the ratio that compare
SVETLANKA909090 [29]

Answer:

A. 1:8

Step-by-step explanation:

We have been given that several students were asked to name the kinds of animals they saw in the past week at the park.

Dogs: 8

Cat: 2

Fish: 4

Lizard: 2

We are asked to find the ratio that compares the number of cats seen to the total number of animals seen.

Let us find total number of animal by adding each type of animals as:

\text{Total animals}=8+2+4+2

\text{Total animals}=16

We can see that the students saw 2 cats, so ratio of cats to total animals would be 2:16.

Dividing 2 and 16 by 2, we will get:

\frac{2}{2}:\frac{16}{2}\Rightarrow 1:8

Therefore, the ratio 1:8 compares the number of cats seen to the total number of animals seen and option A is the correct choice.

5 0
2 years ago
Given b(x) = (x+41, what is b—10)?<br> a)-10<br> b)-6<br> c)6<br> d)14
Yakvenalex [24]

Answer:

choice c.  x = 6

Step-by-step explanation:

b(x) = (x+41, what is b—10)

it looks like   b = x + 4

b = 10, then  

10 = x + 4,

x = 6

4 0
2 years ago
Please try your best and show your work and I will give brainliest!
dimulka [17.4K]

Answer:

Part A: impossible

Part B: Either equal or blue

Part C: 9 green and 2 blue were added

Step-by-step explanation:

Part A:

The only colors included in this problem are red, blue, and green. There is no black colored pencil, therefore, it is impossible to get one from the box.

Part B:

I'm not sure what you're asking in this question, but I will give you the two choices. If it is before the additional 11 colored pencils are added to the box, the chance of drawing a red and the chance of drawing a blue will be equal, because both of them have 11 of each color. If it is after the additional 11 colored pencils are added to the box, then the chance of drawing a blue colored pencil will be greater than the chance of drawing a red colored pencil. After the 11 colored pencils are added, there are 13 blue and 11 red. The blue is greater.

Part C:

The least number of green colored pencils added has to be 9, because the chance of drawing a green pencil is now greater than the chance of drawing a red pencil. If we add 8 more green pencils, the likelihood would be the same. Therefore, the number of green colored pencils added has to be at least 9. If we have the last 2 colored pencils be blue, then there would be 11 red, 13 blue, and 12 green. This fits all the conditions, therefore, adding 9 green colored pencils and 2 blue colored pencils is the answer.

I hope this helps and please mark me as brainliest!

5 0
2 years ago
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