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2 years ago

What are the solutions of –7x – 60 = x2 + 10x?

Mathematics

1 answer:

Alja [10]2 years ago

8 0

The answer is X=- 60/19

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In ⊙O, ST and VT are tangents. m∠STV = 22°. Find the value of a, b, and m∠SOV.

Rasek [7]

Answer:

$\huge \orange {\boxed {a =202\degree}}$

$\huge \purple {\boxed { b = 158\degree}}$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

Step-by-step explanation:

In $\odot$ O, ST and VT are tangents at points S and V respectively.

$\therefore OS\perp ST, \:and\: OV\perp VT$

$\therefore m\angle OST=m\angle OVT = 90\degree$

In quadrilateral OSTV,

$m\angle SOV +m\angle OST+m\angle OVT+m\angle STV = 360\degree$

(By interior angle sum postulate of a quadrilateral)

$m\angle SOV +90\degree +90\degree +22\degree = 360\degree$

$m\angle SOV +202\degree = 360\degree$

$m\angle SOV = 360\degree-202\degree$

$\huge \red {\boxed {m\angle SOV = 158\degree}}$

$\because b = m\angle SOV$

(Measure of minor arc is equal to measure of its corresponding central angle)

$\huge \purple {\boxed {\therefore b = 158\degree}}$

$\because a + b= 360\degree$

(By arc sum property of a circle)

$\therefore a = 360\degree - b$

$\therefore a = 360\degree -158\degree$

$\huge \orange {\boxed {\therefore a =202\degree}}$

6 0

2 years ago

Mr. Jackson divided £420 between his children in the ratio of their ages, Mitch is 4 and Jo is 3

3241004551 [841]

Answer:

Mitch=60*4=240

Jo=60*3=180

Step-by-step explanation:

420/7=60

4 0

2 years ago

These two triangles can be shown to be congruent using which transformation?

Vladimir [108]

Answer:

This is B) A reflection over the y-axis.

Step-by-step explanation:

You can tell this in a picture due to the fact that each point on the corresponding triangle is equidistant from the y-axis. Take the point at the bottom for instance. In both pictures, it is 2 spaces away from the y axis.

6 0

2 years ago

What is the GCF of 88 and 66?

Vadim26 [7]

Answer:

the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)

Step-by-step explanation:

have a good day!!

7 0

2 years ago

Read 2 more answers

Please help will give brainliest

garri49 [273]

Answer:

$b = 17$

Step-by-step explanation:

For this triangle we have to

$a=18.2\\B=62\°\\C=48\°$

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

$A + 62 +48=180\\\\A=180-62-48\\\\A=70\°$

Now we use the sine theorem to find the length of b:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17$

5 0

2 years ago