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2 years ago

Tell whether the angle is adjacent or vertical. Then find the value of x

Mathematics

1 answer:

Yuki888 [10]2 years ago

6 0

These angles are adjacent angels.
adjacent angels- have a common side and the same vertex.
(pictured below)

To solve this we set the sum of both angles equal to 180°. We do this because they are two adjacent angles on a straight line. The measure of a straight lines angle is 180°.

180= 5x + (x+96)
180=6x+96
84= 6x
x=14

any questions?

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Jake had 17 toy cars. He gave Dan and Andy each the same number of toy cars. Now Jake has five toy cars. How many toy cars did h

andrew-mc [135]

Answer:

Each friend got 6 cars each

Step-by-step explanation:

17-5= 12 cars

He gave 12 cars away.

Since there are 2 friends, you divide the cars given away by 2, hence

12/2= 6

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2 years ago

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in ye

Vaselesa [24]

Answer:

Javier's equation is not correct because the variable "a" should be multiplied by only and then added to

Step-by-step explanation:

Let

a------>is the tree’s age in years

we have that

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we know that

The equation that represent the situation is equal to

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Javier's equation is not correct because the variable "a" should be multiplied by only and then added to

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2 years ago

Read 2 more answers

Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En

Sergio [31]

Answer:

$\bold{cot(t) =\dfrac{12}{5}}$

Step-by-step explanation:

Given that:

$Cosec (t) = -\frac{13}5$

for $\pi < t < \frac{3 \pi}2$

That means, angle $t$ is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

$cosec^2\theta -cot^2\theta =1$

here, $\theta =t$

So, $cosec^2t-cot^2t=1$

$\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}$

But, angle $t$ is in 3rd quadrant, so value of

$\bold{cot(t) =\dfrac{12}{5}}$

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2 years ago

The slope of the line in the graph is

gizmo_the_mogwai [7]

Answer:

the slope of the line in the graph is: 3

the y-intercept is: -4

the equation of the line is: y=3x-4

Step-by-step explanation:

If we find a point on the graph and count it until it reaches other solid point we get that you have to go up three and to the right by one. This solid point I looked at was (0,-4) and counted up to (-1,1). To find the slope, we have to simply count and use "rise over run". The rise is 3 for every 1 we run, making the slope 3/1 which is 3.

the y-intercept is the point on the graph that touches the y-axis on the graph. The only point on the graph that touches the y-axis is -4, making the y-intercept -4.

The equation for a graph is y=mx+b. m would be the slope and b would be the y-intercept. We know that the slope is 3 (m) and that the y-intercept is -4 (b). Putting them together, we get that the equation of the graph is y=3x-4.

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1 year ago

Write the smallest 4-digit numeral using 0,2,8, and 7

Sholpan [36]

Should be 0,2,7,8 i dont think you could go any lower

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2 years ago