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Alchen [17]
2 years ago
6

Which angles are obtuse angles in the figure shown

Mathematics
1 answer:
earnstyle [38]2 years ago
5 0

The answer is D. ∠FVI and ∠GVE. An obtuse angle must be wider than 90° (like the corners of a square or rectangle) and less than 180° (literally a straight line).

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Could someone please help? Maybe with an explanation? Thank you :)
goblinko [34]
The first one because angle one is the same degrees as angle 8, which proves why p is parallel to q
6 0
3 years ago
If you subtract 14 from my number and multiply the difference by -4, the result is -40 what is peters number?
alina1380 [7]

Answer:

-104?

Step-by-step explanation:

6 0
3 years ago
Find the area of a rectangle with a base of 5 feet and a height of 9 1/2 feet​
gayaneshka [121]

The area of the rectangle is 47 1/2

7 0
2 years ago
What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k)   and then solve for "y", that's the equation of the quadratic

4 0
3 years ago
Help help math math math
Marianna [84]

Answer:

3

Step-by-step explanation:

Get rid of fractions:

Multiply the whole equation, i.e. all terms both sides of the equals sign, by the denominator or the lowest common multiple of all denominators if there are multiple fractions in the equation;

In this case, only one term is a fraction and therefore has a denominator (i.e. 7), so it is this number we multiply the equation by to get:

7(y) = 7(-³/₇.x) + 7(3)

7y = -3x + 21

3x + 7y = 21

5 0
2 years ago
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