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3 years ago

Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion.

2 answers:

8 0

<span>The hypothesis is : If Robbie wants to save money to buy a car. Conclusion : he must get a part-time job.

Robbie already started the new job yesteday. So, that makes the hypothesis true.

So, the conclusion would be : Robbie will save money to buy a car/ Robbie will buy a car.</span>

Leokris [45]3 years ago

4 0

The answer is, "Therefore, Robbie is saving money to buy a car."

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Can some one please help me with solving this using proofs

marishachu [46]

$proof: \: 3(5x + 1) = 13x + 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 15x + 3 = 13x + 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (15x - 13x) + 3 = 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2x = (5 - 3) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2x = 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: x = (2 \div 2) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: x = 1$

8 0

4 years ago

Triangle ABC is congruent to triangle DEF. If DE = 41, EF = 23, DF = 36, and AC = 5x - 9, what is x? Round to the nearest tenth.

Aloiza [94]

Similar shapes may or may not be congruent.

The value of x is (a) 9.0

The corresponding sides are:

AB and DE
BC and EF
AC and DF

The side lengths are:

$\mathbf{DE = 41}$

$\mathbf{EF = 23}$

$\mathbf{DF = 36}$

$\mathbf{AC = 5x - 9}$

Because the shapes are congruent, and AC corresponds to DF.

This means that:

$\mathbf{AC = DF}$

So, we have:

$\mathbf{5x - 9 = 36}$

Collect like terms

$\mathbf{5x = 9 + 36}$

$\mathbf{5x = 45}$

Divide both sides by 5

$\mathbf{x = 9.0}$

<em>Hence, the correct option is (a) 9.0</em>

Read more about congruent triangles at:

brainly.com/question/12413243

5 0

3 years ago

Circle O has a center at (-2, 10) and a

allsm [11]

Answer:

Step-by-step explanation:

If the point lies on the circle, the distance of the point to the center would be equivalent to the circle's radius since radius is defined as the distance from the center to any point of the circle.

Since length of a radius is half of a diameter,

radius= diameter ÷2

radius= 12 ÷2

radius= 6 units

Let's find the length between each points to see which is equal to 6 units, using the distance formula below.

$distance = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} }$

A. Distance between 2 points

$= \sqrt{ {(10 + 5)}^{2} + ( - 2 + 6)^{2} } \\ = \sqrt{15 ^{2} + {4}^{2}} \\ = \sqrt{241} \\ = 15.524 \: units$

(to 5 s.f.)

Since the distance is greater than 6 units, point A lies outside the circle.

B. Distance between 2 points

$= \sqrt{ {(10 - 4)}^{2} + ( - 2 + 2)^{2} } \\ = \sqrt{ {6}^{2} } \\ = 6 \: units$

Since the distance of B from the center is 6 units, point B lies on Circle O.

Let's check the other 2 points:

C. Distance between 2 points

$= \sqrt{ {(10 - 4)}^{2} + {( - 2 - 6)}^{2} } \\ = \sqrt{ {6}^{2} + ( - 8)^{2} } \\ = \sqrt{100} \\ = 10 \: units$

Since the distance of point C from the center is greater than 6 units, point C lies outside the circle.

D. Distance between 2 points

$= \sqrt{ {(10 - 8)}^{2} + {( - 2 - 8)}^{2} } \\ = \sqrt{2^{2} + ( - 10)^{2} } \\ = \sqrt{104} \\ = 10.198 \: units$

(to 5 s.f.)

Point D also lies outside Circle O.

8 0

3 years ago

I reallyyyy need help on this

ycow [4]

Answer:

Step-by-step explanation:

h(k(3))= $\sqrt{2(3)+7+3}$

6 0

3 years ago

Does anyone know the answer

slamgirl [31]

Answer: The period of the given function is 10

Step-by-step explanation:

The period of a function is the distance required to complete a full cycle (In which the portion of the graph repeats itself however in both direction)

Since, by the given diagram,

After 10 unit, the one cycle of the function is completed,

⇒ The period of the given function is 10.

5 0

3 years ago

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