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Mumz [18]
3 years ago
6

What is the answer to 1.1x + 1.2x - 5.4 = -10

Mathematics
2 answers:
lord [1]3 years ago
8 0
1.1x+1.2x-5.4=-10

11/10x+12/10x-54/10=10

11x/2.5+2^2-1*3/5x-3^3/5=-10

(11x)+2(2*3x)+2(-3^3)/2*5=-10

11x+2(6x)+2(-27)/2*5=-10

11x+2*6x-2*27/2*5=-10

11x+12x-54/2*5=-10

23x-54/2*5=-10

23x-54=-100

23x=-46

23x/23=-46/23

x=-2*23/23

x=-2
Luden [163]3 years ago
5 0
PEMDAS 1.1x + 1.2x = 2.3x -10 + 5.4 = -4.6 -4.6/2.3 = -2 Answer = -2
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I Need Help Answer Plz I Need It Badly!!!
salantis [7]

Answer: Yes it is.

Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.

According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.

3 0
2 years ago
Carlos landlord added a markup of 6.5% to their October rent . Carlos rent would have been 750 what is the cost of his rent afte
Lapatulllka [165]

Answer:

c

Step-by-step explanation:

dont know if i am right

5 0
3 years ago
Given right triangle ABCABC with altitude \overline{BD} BD drawn to hypotenuse ACAC. If BC=10BC=10 and DC=5,DC=5, what is the le
Helen [10]

Answer: \overline{AC}= 12.5

Step-by-step explanation: The triangle ABC and its altitude \overline{BD} is represented in the figure below.

<u>Altitude</u> is a segment of line that link a vertex and the opposite side, forming a right angle.

So, because of \overline{BD}, now we have two similar triangles, which means that ratios of corresponding sides are equal:

\frac{\overline{BD}}{\overline{BC}} =\frac{\overline{AD}}{\overline{BD}}

\overline{BD}^{2}=\overline{BC}.\overline{AD} (1)

This is always true for a right triangle and a altitude drawn to the hypotenuse.

Triangle BDC is also right triangle. So, we can use Pythagorean theorem to determine the missing side.

\overline{BC}^{2}=\overline{CD}^{2}+\overline{BD}^{2}

\overline{BD}^{2}=\overline{BC}^{2}-\overline{CD}^{2} (2)

Substituting (2) into (1):

\overline{BC}^{2}-\overline{CD}^{2}=\overline{BC}.\overline{AD}

We want to find f, so:

\overline{AD}=\frac{\overline{BC}^{2}-\overline{CD}^{2}}{\overline{BC}}

f=\frac{10^{2}-5^{2}}{10}

f = 7.5

The length of \overline{AC} is

\overline{AC}=f+5

\overline{AC}=7.5+5

\overline{AC}=12.5

The length of the hypotenuse of triangle ABC is 12.5 units.

5 0
2 years ago
Read 2 more answers
If I am in Vermont, then I am in the North.
raketka [301]
The correct answer is D.

This is because a converse statement switches the places of the hypothesis and conclusion.
6 0
2 years ago
HELLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPP!!! 98POINTS
Mnenie [13.5K]

Answer:

$1699.25

Step-by-step explanation:

Data:

                 Cost = $314 000

Down payment = 18 %

               Term = 20 yr

                       i = 5 %/yr  

Calculations:

(a) <em>Down payment </em>

Down payment = 314 000 × 0.18

                         = $56 520

(b) <em>Amount financed </em>

                  Cost = $314 000

-Down payment = <u>   56 520</u>

          Financed = $257 480

(c) <em>Monthly payments </em><em> </em>

The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate of i % is

P = A(\frac{i}{1-(1+i)^{-n}})

We must express the interest rate on a monthly basis.

I = 5 %/yr = 0.41 667 %/mo = 0.004 1667

n = 2 × 12 = 240 mo

P = 257 480(\frac{0.004 1667}{1 - (1+0.004 1667)^{-240}})

P = \frac{1072.83}{1- (1.004 1667)^{-240}}

P = \frac{1072.83}{1 - 0.368 645}

P = \frac{1072.83}{0.631 355}

P = $1699.25

Carlos' monthly mortgage payment will be $1699.25.

8 0
2 years ago
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