All categories

3 years ago

Which reason justifies the following statement?

Mathematics

2 answers:

amid [387]3 years ago

3 0

Answer:

(A) Complements of the same angle are congruent.

Step-by-step explanation:

Since, ∠CEF is complementary to ∠DCF, therefore

∠CEF+∠DCF=90° (1)

Also, ∠CEG=∠CEF+∠FEG

⇒90°=∠CEF+∠FEG (2)

Therefore, from(1) and (2), we get

∠CEF+∠DCF=90°

∠CEF+∠FEG=90°

Subtracting both the equations, we get

∠DCF-∠FEG=0

∠DCF=∠FEG.

Hence, ∠DCF≅∠FEG by the rule: Complements of the same angle are congruent.

mafiozo [28]3 years ago

3 0

Answer; Complements of the same angle are congruent.

You might be interested in

Is this correct? I don’t understand

omeli [17]

Answer:

yes it is correct

Step-by-step explanation:

subtract |p| from |p+q| to get |q|

5 0

3 years ago

I need help please. Must be correct. 10 points. Thanks

Anna11 [10]

We have the supplementary angles.

The sum of the measures of the two Supplementary Angles is 180°.

Therefore we have the equation:

13x - 2 + 39 = 180

13x + 37 = 180 <em>subtract 37 from both sides</em>

13x = 143 <em>divide both sides by 13</em>

<em>x = 11</em>

<h3>Answer: 11</h3>

5 0

3 years ago

Help me please <br> I’m doing a test and cant get this

ella [17]

Answer:

Step-by-step explanation:

first you get rid of the exponents and get

9+25-2×9

then you multiply and get

9+25-18

then you add And get

34-18

lastly you subtract to get your answer which is

7 0

3 years ago

Select all the pairs of equivalent expressions.

iren2701 [21]

Answer:

$\huge\boxed{(3^4)^4=3^8\cdot3^8}\\\boxed{4^3\cdot5^3=20^3}\\\boxed{(4^3)^3=4^3\cdot4^3\cdo4^3}$

Step-by-step explanation:

$a^n\cdot a^n=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}\\\\(a\cdot b)^n=a^n\cdot b^n\\=====================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3=4^{3+3}=4^6\\\\4^9\neq4^6\to(4^3)^3\neq4^3\cdot4^3\\==================$

$(3^4)^4=3^{4\cdot4}=3^{16}\\3^8\cdot3^8=3^{8+8}=3^{16}\\\\(3^4)^4=3^8\cdot3^8\\================$

$6^4\cdot3^4=(6\cdot3)^4=18^4\\\\18^4\neq18^8\to6^4\cdot3^4\neq18^8\\=================$

$4^3\cdot5^3=(4\cdot5)^3=20^3\\\\4^3\cdot5^3=20^3\\=================$

$(4^3)^3=4^{3\cdot3}=4^9\\4^3\cdot4^3\cdot4^3=4^{3+3+3}=4^9\\\\(4^3)^3=4^3\cdot4^3\cdot4^3$

3 0

3 years ago

4. = 38 -8(n-1), n=1, 2, 3...

stepladder [879]

Answer:

$38-8\left(n-1\right),\:n=123:\quad -938$

$\mathrm{For}\:38-8\left(n-1\right)\:\mathrm{substitute}\:n\space\mathrm{\:with\:}\space123$

$38-8(123-1)= -938$

$-938$

Step-by-step explanation:

5 0

2 years ago