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3 years ago

Who is correct? Explain your reasoning. (Picture included)

Mathematics

1 answer:

Arada [10]3 years ago

6 0

Answer:

Gail is correct

Step-by-step explanation:

Angle 4 is congruent to <1 (vertical angles), <5 (alternate interior angles) and <8 (corresponding angles), and supplementary to the rest (e.g Angle 2 + Angle 4 = 180°)

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What are the coordinates of the point on the directed line segment from (-7,-9) to (-2,4) that partitions the segment into a rat

Mrac [35]

P1 = (-7, -9)

P2 = (-2, 4)

ratio = 1/4

x = (-7 + 0.25(-2))/(1 + 0.25)

= (-7 - 0.5) / 1.25

= -7.5/1.25

= -6

y = (-9 + 0.25(4)) / (1 + 0.25)

y = (-9 + 1) / 1.25

y = -8/1.25

y = 6.4

The coordinate sof the point are (-6, 6.4)

4 0

1 year ago

An equiangular triangle can be a scalene?

Lorico [155]

Answer:

No, an equiangular triangle cannot be scalene.

Step-by-step explanation:

By definition, a scalene triangle is a triangle in which each side of the triangle has a different length

6 0

3 years ago

Question 1 1.1 Jane wants to make Spaghetti Bolognese for her family of 5 people, including herself. The following is a list of

Lelechka [254]

Answer:

$\begin{gathered} 1.1.1.300g\cdot\frac{0.001\operatorname{kg}}{1g}=0.3\operatorname{kg} \\ 1.1.2.400g\cdot\frac{0.001\operatorname{kg}}{1g}=0.4\operatorname{kg} \\ 1.1.3.500ml\cdot\frac{0.001lt}{1ml}=0.5\text{ lt} \\ 1.1.4.769.69\cdot0.001=0.769\text{ liters} \end{gathered}$

Step by step explanation:

1.1.1 We know that 1kg is equivalent to 1000g, then we can convert:

$300g\cdot\frac{0.001\operatorname{kg}}{1g}=0.3\operatorname{kg}$

1.1.2 For 400g of tomatoes:

$400g\cdot\frac{0.001\operatorname{kg}}{1g}=0.4\operatorname{kg}$

1.1.3. For 500ml of water, convert this into liters. We know that a 1ml is 0.001 lt

$500ml\cdot\frac{0.001lt}{1ml}=0.5\text{ lt}$

1.1.4. Since capacity is represented by the following expression:

$\begin{gathered} C=\pi\cdot\text{radius}\cdot\text{radius}\cdot\text{height} \\ C=\pi\cdot7\cdot7\cdot5=769.69cm^3 \end{gathered}$

We know that 1 cubic centimeter is equal to 0.001 liters.

$769.69\cdot0.001=0.769\text{ liters}$

8 0

1 year ago

If 75% is £45 what is the full cost?

dimulka [17.4K]

ANSWER: 60

75/100 = 3/4

45 divided by 3 is 15
15 multiplied by 4 is 50 (=4/4 = 100%)

6 0

3 years ago

If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?

sertanlavr [38]

Answer:

$Dom\{g(x)\} = Dom\{f(x)\} = (g, h)$ .

$Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)$

Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable ( $x$ in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of $f(x)$ and we must find the domain and range of $g(x)$ .

Domain

The domain of $g(x)$ is the domain of $f(x)$ . That is, $Dom\{g(x)\} = Dom\{f(x)\} = (g, h)$ .

Range

We have to define the bounds of the range of $g(x)$ , given that range $f(x)$ is modified by streching and horizontal translation operations:

Lower bound ( $f(x) = j$ )

$g(x) = m\cdot j +p$

Upper bound ( $f(x) = k$ )

$g(x) = m\cdot k +p$

In consequence, the range of $g(x)$ is $Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)$

3 0

3 years ago