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MariettaO [177]
2 years ago
13

Tom exercise a total of 150 minutes in two days he exercise 20 minutes less on the first day then on the second day how many min

utes did he exercise each day?
Mathematics
2 answers:
Viktor [21]2 years ago
7 0
Answer 65 and 85 minutes
Reason
We know he exercised for 2 days
We know the second day was -20
We know the total minutes = 150
We don’t know x

Equation is 2x -20 = 150. Solve for x
Isolate x by subtracting (-20) from both sides.
2x = 170. Solve for x by dividing both sides by 2.
X= 85
Now we know the first day was (-20)
85-20= 65

Answer 85 + 65 = 150
elixir [45]2 years ago
6 0

Answer:

60 on the first day and 80 on the second

Step-by-step explanation:

the first day was lesser than the second day by 20 minutes.

so the second day was more than the first day by 20 minutes.

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Step-by-step explanation:

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Which statements are true about ΔJKL and ΔLMN? Select all that apply.
svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure 50^o,60^o,70^o

Step-by-step explanation:

step 1

Find the value of x

we know that

m\angle KLJ=m\angle MLN ----> by vertical angles

substitute the given values

(6x-2)^o=(5x+10)^o

solve for x

6x-5x=10+2\\x=12

step 2

Find the measure of the interior angles of triangle JKL

we have

m\angle KLJ=(6(12)-2)=70^o

m\angle KJL=(5(12))=60^o

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle JKL=180^o-130^o=50^o

therefore

Triangle JKL has angles that measure 50^o,60^o,70^o

step 3

Find the measure of the interior angles of triangle LMN

we have

m\angle MLN=(5(12)+10)=70^o

m\angle LMN=(6(12)-7)=65^o

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle LNM=180^o-135^o=45^o

Triangle LMN has angles that measure 45^o,65^o,70^o

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

<u><em>Verify each statement</em></u>

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure 50^o,60^o,70^o

The statement is true  (see the explanation)

Part d) ΔLMN has angles that measure 50^o,60^o,70^o

The statement is false

Because, Triangle LMN has angles that measure 45^o,65^o,70^o

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

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