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ELEN [110]
3 years ago
9

If the measure of angle DCF = 34 and the measure of angle DEF = 90, find the measure of angle CDE.

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

118

Step-by-step explanation:

Triangle CDE contains angles CDE, DCR and DER

Angles DCR=17 and DER=45 because in a kite, the diagonal on the line of symmetry bisects the angles and 34-2=17 90/2=45

The angles in a triangle add up to 180 and 180-17-45=118, meaning angle DER=118

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Pat did not put a lid on jar 4.The candle in jar 4 burned for a very long time.Tell why this candle kept burning so much longer
Luden [163]

Answer:

The gas Oxygen supports combustion, so in the environment where there was no lid covering jar 4, it's sure to receive a lot of oxygen

4 0
3 years ago
HELP simple question
lawyer [7]

Answer:

I think it’s step 2 where she distributed the exponents incorrectly but she got it right so since no explanation is really needed then I guess it’s step 2.

step 1 where she divided 5 on both sides. Step 3 is also correct since the answer is 0. so step 2 had the mistake.

5 0
3 years ago
Read 2 more answers
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
saveliy_v [14]

1) (2\times3^-2)^3 (5\times3^2)^2 / (3^-2)(5\times2)^2 = 2

2) (3^3) (4^0)^2 (3\times2)^-3 (2^2) = 1/2

3) (3^7\times4^7) (2\times5)^-3 (5)^2 / (12^7) (5^-1) (2^-4) = 2

4) (2.3)^-1 (2^0) / (2.3)^-1 = 1

<u>Step-by-step explanation</u>:

Step 1 :

(2\times3^-2)^3 (5\times3^2)^2 / (3^-2)(5\times2)^2

⇒ (2^3) (3^-6) (5^2) (3^4) / (3^-2) (10^2)

⇒ (2.2^2.5^2) (3^-6.3^4) / (3^-2) (10^2)

⇒ (2)(10^2) (3^-2) / (3^-2) (10^2)

⇒ 2

Step 2 :

(3^3) (4^0)^2 (3\times2)^-3 (2^2)

Any number with power 'zero' is 1.

⇒ (3^3) (1^2) (3^-3) (2^-3) (2^2)

⇒ (2^(-3+2))

⇒ 2^-1 = 1/2

Step 3 :

(3^7\times4^7) (2\times5)^-3 (5)^2 / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (2^-3) (5^(-3+2)) / (5^-1) (2^-4)

⇒ (2^-3) (5^-1) / (5^-1) (2^-4)

⇒ 1 / (2^-1)

⇒ 2

Step 4 :

(2.3)^-1 (2^0) / (2.3)^-1

⇒ (2^0)

⇒ Any number with power 'zero' is 1

⇒ 1

8 0
3 years ago
(x2-2x+2)+(3x2-4x-10)​
Angelina_Jolie [31]

Answer:

4x^2-6x-8

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax
Akimi4 [234]

Answer: Abigail can make about 16 candles because 0.4 of a candle would not make an entire candle.

Step-by-step explanation:

For the Wax, it’s

V=Bh

V= l*w*h

= 15 cm * 11cm * 18 cm

= 2,970 cm^3

For the Mold, it’s

V=Bh

= r^2h

= * (3.1 cm)^2 * 6

= about 181 cm^3

Then you divide to find out how many candles you can make.

2,970 cm^3/181= 16.4

Hope this helps!

7 0
2 years ago
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