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3 years ago

For geometry:( will give brainist

Mathematics

2 answers:

Tasya [4]3 years ago

7 0

Answer:

Clearly show i can't see ur answer

Viefleur [7K]3 years ago

6 0

Answer:

x = 60

Step-by-step explanation:

These angles are alternate exterior angles because they are on the opposite side of the transversal line and on the outside of a set of two non-transversal lines.

The alternate exterior angles theorem explains that if a pair of non-transversal lines are parallel, then the alternate exterior angles are congruent.

We can use the following equation to solve:

46 = 3x-14

Simplify.

60 = 3x

x= 60

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belka [17]

2y^4 and 5y^4 because same variable (y), same degree (3)

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3 years ago

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The following chart shows the times of runners in the 100 meter sprint.

Elden [556K]

Answer:

Tyrone

Step-by-step explanation:

In a race the shortest time is the winner.

In this case the ones and the tens place are all the same so we look to the tenths place in which Tyrone has a 0 which is the lowest.

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3 years ago

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A?

Vladimir79 [104]

Answer:

Figure A

Step-by-step explanation:

See the attached figure which represents the given options

We are to select the correct pair of triangles that can be mapped to each other using a translation and a rotation about point A.

As shown: point A will map to point L, point R will map to point P and point Q will map to point K.

we will check the options:

Figure A: the triangle ARQ and LPK can be mapped to each other using a translation and a rotation about point A.

Figure B: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line RA.

Figure C: the triangle ARQ and LPK can be mapped to each other using a translation and a reflection about the line QA.

Figure D: the triangle ARQ and LPK can be mapped to each other using a rotation about point A.

So, the answer is figure A

The triangle pairs of figure A can be mapped to each other using a translation and a rotation about point A.

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3 years ago

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The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin

babunello [35]

Answer:

He should plant 100 acres of corn and 400 acres of wheat.

Step-by-step explanation:

This problem can be solved by a siple system of equations.

]x denotes the number of acres of corn

y denotes the number of acres of wheat

Building the system:

The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

$x + y = 500$

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

$42x + 30y = 16,200$

So, we have the following system

$1) x + y = 500$

$2) 42x + 30y = 16,200$

If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?

$1) x + y = 500$

$2) 42x + 30y = 16,200$

I am going to write y as a function of x in 1), and replace in 2). So:

$x + y = 500$ means that $y = 500-x$

$42x + 30y = 16,200$

$42x + 30(500-x) = 16,200$

$42x + 15000 - 30x = 16,200$

$12x = 1,200$

$x = \frac{1,200}{12}$

$x = 100$

Now, going back to 1:

$y = 500 - x = 500 - 100 = 400$

He should plant 100 acres of corn and 400 acres of wheat.

5 0

3 years ago

Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day

AfilCa [17]

Answer:

Rebecca and Dan need to ride $7\frac{9}{20}\ hrs.$ on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = $5\frac34 \ hrs.$

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

$5\frac34 \ hrs.$ can be Rewritten as $\frac{23}{4}\ hrs$

Number of hours rode on first day = $\frac{23}{4}\ hrs$

Also Given:

Number of hours rode on second day = $6\frac45 \ hrs$

$6\frac45 \ hrs$ can be Rewritten as $\frac{34}{5}\ hrs.$

Number of hours rode on second day = $\frac{34}{5}\ hrs.$

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = $20-\frac{23}{4}-\frac{34}{5}$

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = $\frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}$

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day = $\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.$

Hence Rebecca and Dan need to ride $7\frac{9}{20}\ hrs.$ on the third day in order to achieve goal of biking.

3 0

3 years ago