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2 years ago

Which of the lines is perpendicular to the line shown in the graph

Mathematics

1 answer:

Nitella [24]2 years ago

4 0

Answer:

The line passing through (-8, 10) and (-1, 4).

Step-by-step explanation:

Two lines are perpendicular if the product of their slopes is -1. The slope of the line in the picture is $7\over 6$ , so we should find a line with slope of $-6\over 7$ .

Note that the slope of the line in the last option is $-7\over 6$ .

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Can I get some help with proofs? Picture is attached

aleksandr82 [10.1K]

Give a reason for each step of the proof.

Given: <1 and <2 are complimentary

<1 is congruent to <3,

<2 is congruent to <4

Prove: <3 and <4 are complimentary

Statements: Reasons:

1. <1 and <2 are complimentary 1.Given

2. m<1 + m<2=90* 2.DEFINITION OF COMPLEMENTARY ANGLES

3. <1 is congruent to <3, <2 is congruent to <4 3.__GIVEN______

4. m<1=m<3, m<2=m<4 4.DEFINITION OF CONGRUENT ANGLES_

5. m<3 + m<2=90* 5. SUBSTITUTION PROPERTY (m<1 is replaced by m<3.)

6. m<3 +m<4=90* 6. DEFINITION OF COMPLEMENTARY ANGLES

7. <3 and <4 are complimentary 7. DEFINITION OF COMPLEMENTARY ANGLES

8 0

2 years ago

Chase has 3 gallons of a solution that is 30% antifeeze that he wants to use to winterize his car. How much pure antifreeze shou

makvit [3.9K]

Let x gallons be the amount of pure antifreeze that should be added to the 30% solution to produce a solution that is 65% antifreeze. Then the total amount of antifreeze solution will be x+3 gallons.

There are 30% of pure antifreeze in 3 gallons of solution, then

3 gallons - 100%,

a gallons - 30%,

where a gallons is the amount of pure antifreeze in given solution.

Mathematically,

$\dfrac{3}{a}=\dfrac{100}{30},\\ \\a=\dfrac{3\cdot 30}{100}=0.9\ gallons.$

Now in new solution there will be x+0.9 gallons of pure antefreeze.

x+3 gallons - 100%,

x+0.9 - 65%

$\dfrac{x+3}{x+0.9}=\dfrac{100}{65},\\ \\65(x+3)=100(x+0.9),\\ \\65x+195=100x+90,\\ \\35x=105,\\ \\x=3\ gallons.$

Answer: he should add 3 gallons of pure antifreeze.

8 0

2 years ago

Balance the equation

loris [4]

On the right side, there are

• 2•2 = 4 atoms of Nb

• 2•5 = 10 atoms of O

so among the reactants on the left, the reaction is balanced as

4 Nb + 5 O₂ → 2 Nb₂O₅

7 0

1 year ago

Plz help me for 14. A and B it is 93 points

AVprozaik [17]

A. Stiles. For Melendez, each family member uses about 390 kilowatts of electricity. For Barton, each family member uses about 355 kilowatts of energy. Stiles uses 745 kilowatts per family member. 745 divided by 355 rounds up to 2 while 745 divided by 390 rounds up to 2. This means that the Stiles family uses twice the amount of electricity per person than the other families.

b. The Melendez family. The Melendez family uses 875 gallons per family member. The Barton family uses about 1067 gallons of water while the Stiles family uses about 1250 gallons. 875< 1067< 1250. This means that the Melendez family uses the least amount of water per family member.

6 0

2 years ago

Read 2 more answers

To mix a particular shade of purple paint, read paint and blue paint are mixed in the ratio 5:3. To make 80 gallons of this shad

zubka84 [21]

Answer:

50 gallons of red

30 gallons of blue

Step-by-step explanation:

5 parts of the whole must be red, 3 parts of the whole must be blue, and there are 5+3=8 parts in total.

therefore, 1 part = 80/8 = 10 gallons

red : 5 parts

5×10 = 50 gallons

blue : 3 parts

3×10 = 30 gallons

4 0

2 years ago