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3 years ago

Given: ∠6≅∠7 Prove: ∠5≅∠8

Mathematics

1 answer:

RideAnS [48]3 years ago

4 0

Answer:

Step-by-step explanation:

angle 6 ang angle 7 congruent (equal to ) because they are alternate interior angles and alternate interior angles are always equal.

angle 6 and angle 5 are congruent(equal to ) because they are vertically opposite angles and vertically opposite angles are always equal.

angle 7 and angle 8 are congrunt (equal ) because they are veritically opposite angles angd vertically opposite angles are always equal.

angle 5 and angle 8 are congruent(equal ) because they are alternate exterior angles and alternate exterior angles are also always equal.

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Create a word problem using 30+2d as the answer

Tanzania [10]

Answer:

Sonya pays a flat fee of $30 for her phone bill and pays $2 per gigabyte she uses per month. Put Sonya's bill as an equation with d being how many gigabytes she uses per month.

Step-by-step explanation:

We get the flat fee of $30 from "30 + 2d" and the $2 per gigabyte from "30 + 2d" and since we want to find out Sonya's total bill, that's where the + in "30 + 2d" comes from. We want the variable to be d therefore d is how many gigabytes she uses per month.

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2 years ago

Solve the following absolute value equations. Show the solution set and check your answers. |0.3-3/5k|-0.4=1.2

9966 [12]

Answer:

**The equation is not clear, so I have provided both options**

<h3>Option 1</h3>

$\left|0.3-\dfrac{3}{5}k\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5}k\right|=1.6$

Solution 1

$\implies 0.3-\dfrac{3}{5}k=1.6$

$\implies -\dfrac{3}{5}k=1.3$

$\implies k=-\dfrac{13}{6}$

Solution 2

$\implies -(0.3-\dfrac{3}{5}k)=1.6$

$\implies -0.3+\dfrac{3}{5}k=1.6$

$\implies \dfrac{3}{5}k=1.9$

$\implies k=\dfrac{19}{6}$

<h3>Option 2</h3>

$\left|0.3-\dfrac{3}{5k}\right|-0.4=1.2$

$\implies \left|0.3-\dfrac{3}{5k}\right|=1.6$

Solution 1

$\implies 0.3-\dfrac{3}{5k}=1.6$

$\implies -\dfrac{3}{5k}=1.3$

$\implies -3=6.5k$

$\implies k=-\dfrac{6}{13}$

Solution 2

$\implies -(0.3-\dfrac{3}{5k})=1.6$

$\implies -0.3+\dfrac{3}{5k}=1.6$

$\implies \dfrac{3}{5k}=1.9$

$\implies 3=9.5k$

$\implies k=\dfrac{6}{19}$

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2 years ago

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bija089 [108]

Answer:

Step-by-step explanation:

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3 years ago

Find the difference of 5 2/3 -4 5/9 A 3/4 B 1 1/9 C 1 1/2 D 8/9

sergey [27]

Answer: B- 1 1/9
Work:
5 2/3 - 4 5/9
1 2/3 - 5/9
1 6/9 - 5/9
= 1 1/9

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3 years ago

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BARSIC [14]

Answer:

N is 7 x 7, because there is a order which is the term and number are like being multiplied by the same number for example "1 x 1 =1, 2 x 2 = 4" and so on

Step-by-step explanation:

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3 years ago