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andrezito [222]
3 years ago
7

If ABCD is a rectangle, and m∠ADB=55°, what is the value of x?

Mathematics
2 answers:
spayn [35]3 years ago
7 0

Answer:

70 degrees

Step-by-step explanation:

55*2= 110

180-110=70

makvit [3.9K]3 years ago
6 0

Answer: OPTION D.

Step-by-step explanation:

Rectangles have four right angles (angles of 90 degrees).

The point of intersection of the diagonals divides each one of them into two equal parts.

Knowing this, we can conclude that:

m\angle c=m\angle b=55\°

(Observe the figure)

Therefore, since the sum of the interior angles of a triangle is 180 degrees, we can find the value of "x":

x+m\angle c+m\angle b=180\°\\x=180\°-55\°-55\°\\x=70\°

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What is the scale factor from ABC to DEF?​
ollegr [7]

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = \frac{EF}{BC} = \frac{11}{66} = \frac{1}{6} → C

8 0
3 years ago
Brenda took out a personal loan for $12,000 at an interest rate of 12% compounded monthly. She made arrangements to pay the loan
iragen [17]

Answer: her monthly payments would be $267

Step-by-step explanation:

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $12000

r = 0.12/12 = 0.01

n = 12 × 5 = 60

Therefore,

P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]

12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]

P = 12000/{1.817 -1}/[0.01(1.817)]

P = 12000/(0.817/0.01817)

P = 12000/44.96

P = $267

7 0
3 years ago
Spiral Review At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75. They decide to leave
Licemer1 [7]

Answer: 4.55

Step-by-step explanation:

6.50x2 = 13 + 9.75 = 20% = 4.55

hoped this helped lol

4 0
3 years ago
Four hundred fifty thousand in standard form
lutik1710 [3]

Answer:

From India

4.5×10⁵

standard form is written above

7 0
1 year ago
A store advertises 15% off an item that regularly sells for $300.
Ilia_Sergeevich [38]

Regular price = 300

Sale = 15%

Price after sale

= 300 - 15%(300)

= 300 - 15/100 x 300

= 300 - 15 x 3

= 300 - 45

= 255

7 0
3 years ago
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