1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nana76 [90]
3 years ago
15

PLEASE HELP! (05.01 MC)

Mathematics
1 answer:
Temka [501]3 years ago
7 0

Answer:

3) Option C is correct.

3 over 3 and 61 hundredths = 6 over 7 and 22 hundredths

Step-by-step explanation:

Triangle BDE is dilated by a scale factor of 2 to obtain triangle BAC.

Dilation by a scale factor of 2 means that all the sides of triangle BAC are twice as much as the corresponding sides of triangle BDE.

And triangle BDE is similar to triangle BAC.

It also means that the corresponding angles are necessarily equal.

BD = 2

BE = 3

ED = 3.61

BA = 2 × BD = 2 × 2 = 4

BC = 2 × BE = 2 × 3 = 6

CA = 2 × ED = 2 × 3.61 = 7.22

Cos ∠D according to trigonometric relations is given as (adj/hyp)

Adj = Adjacent side = BE = 3

Hyp = hypotenuse side = ED = 3.61

Cos ∠D = (3/3.61)

Cos ∠A can also be similarly obtained from trigonometric relations as (adj/hyp)

Adj = Adjacent side = BC = 6

Hyp = hypotenuse side = CA = 7.22

Cos ∠A = (6/7.22)

Since the two angles are corresponding angles of two similar triangles,

We can easily see that

Cos ∠D = Cos ∠A

(3/3.61) = (6/7.22) = 0.8310

Which is necessarily equal to each other

Hence, the proportion that proves that Cos ∠D = Cos ∠A is 3 over 3 and 61 hundredths = 6 over 7 and 22 hundredths.

please mark me brainliest :)

You might be interested in
What is the measure of how likely an event is.
sweet-ann [11.9K]
Certain or very likely its one of those two i hope i helped
6 0
3 years ago
Let f(x) = x2 − 8x + 5. Find f(−1)
rewona [7]

Answer:

14

Step-by-step explanation:

f(x)=x^2-8x+5

now substitute x for -1

f(-1)=(-1)^2-8(-1)+5

now solve

f(-1)=1+8+5

f(-1)=14

there is your answer! hope this helps! :)

5 0
3 years ago
Read 2 more answers
Cara and John collect baseball cards.Cara has 12 times as many baseball cards as John.Together they have 117 cards.How many card
enyata [817]

Answer:

Cara:108

Step-by-step explanation:

John: x number of cards

Cara: 12 times x number of cards(she has 12 times more cards than John)

Cara+John=117 cards

12 \times x + x = 117 \\ 13x = 117 \\ x =  \frac{117}{13}  \\ x = 9

Cara has 12×9 cards, so she has 108 cards.

Hope this was helpful :)

5 0
3 years ago
Read 2 more answers
Determine the line of reflection that maps the pre-image segment AB to the image segment A’B’.
Studentka2010 [4]

Answer: y=0

Step-by-step explanation:

(i’m so sorry i don’t know how to explain it, i guesses but got it right.)

5 0
3 years ago
Read 2 more answers
For the situation, draw a diagram for the relationship of the quantities to help you answer the question. Then write a multiplic
Aloiza [94]

Answer: 6 batches

Step-by-step explanation:

From the question, we are informed that one batch of cookies requires 2⁄3 cup of flour.

Therefore, the number of batches that can be made with 4 cups of flour will be:

= 4 / 2/3

= 4 × 3/2

= 12/2

= 6 batches

7 0
3 years ago
Other questions:
  • Lenny has a remaining balance on his credit card of $3,000. His credit card has an APR of 20 percent. How much will he pay in in
    11·1 answer
  • Ellie practices piano 2/3 h per day, several days each week. She practiced piano 32 2/3 hours during the summer. What equation c
    14·1 answer
  • Question 28
    13·1 answer
  • Every Halloween, trick-or-treaters love going to Elise's house to see her spooky decorations and get some of her delicious caram
    5·1 answer
  • The cost of 8 gallons of gasoline can be modeled by C(g) = 2.25g. The amount of gasoline used
    6·1 answer
  • A fair spinner has 12 equal sections: 4 red, 3 blue and 5 green.
    8·1 answer
  • Write an equation of the line in slope-intercept form​
    10·1 answer
  • A triangle has an angle that measures 95°. The other two angles are in a ratio of 6:11. What are the measures of those two angle
    6·1 answer
  • In the given figure x = 145°. What theorem can be used to prove the lines p and q are parallel?
    8·1 answer
  • Will give brainliest!<br> Is y = -4x - 5 a linear equation?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!