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3 years ago

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In circle O, SU is a diameter. Circle O is shown. Line segment S U is a diameter. Line segments R O and T O are radii. Points R

and T are between points S and U. Angles S O R and T O U are congruent. Angle R O T is (13 x + 15) degrees and angle T O U is (9 x + 5) degrees. What is mArc S T? 100° 108° 130° 160°

2 answers:

Finger [1]3 years ago

8 0

Answer:

130°

Step-by-step explanation:

See the attached diagram.

Given that ∠ ROS = ∠ TOU = 9x + 5

Again, ∠ ROT = 13x + 15.

Therefore, 13x + 15 + 2 (9x + 5) = 180

⇒ 31x + 25 = 180

⇒ 31x = 155

⇒ x = 5

Hence, ∠ SOT = ∠ SOR + ∠ ROY = 9x + 5 + 13x + 15 = 22x + 20 = 130°

(Answer)

shusha [124]3 years ago

5 0

Answer:

130 on edge

Step-by-step explanation:

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Heather left the hospital and drove toward the desert at an average speed of 35 km/h. Danielle left sometime later driving in th

elena55 [62]

Answer:

Danielle drove 3 hours

Step-by-step explanation:

Suppose Heather moved in the x direction.

Then Danielle moved in the opposite direction, that is, she moved in the -x direction.

Let's call $V_1$ , $x_1$ , $t_1$ at the speed, distance and time that I code Heather

Let's call $V_2$ , $x_2$ , $t_2$ at the speed, distance and time Danielle codes.

Observe the following diagram:

(x) Heather <------ $x_1$ --------- hospital ---------- $x_2$ -----------> Danielle (-x)

So:

$V_1 = 35\ km/h$

$t_1 = 4\ h$

$V_2 = 50\ km/h$

We know that after 4 hours the distance between Heather and Danielle was 290 km.

That is to say:

$x_2 + x_1 = 290\ km/h$

We know that $x_1= v_1t_1$

$x_1 = 35(4)$

$x_1 = 140\ km$

We already know $x_1$ , the distance from the hospital to Heather, so we can find $x_2$ and thus know $t_2$

So:

$x_2 = 290 - 140\\\\x_2 = 150\ km$

Then:

$t_2 = \frac{x_2}{v_2}\\\\t_2 = \frac{150}{50}\\\\t_2 = 3\ h$

7 0

3 years ago

The Lorenzo family traveled 456 miles in 8 hours. how far will they travel in 12 hours

aleksley [76]

Answer:

8 hours 456 miles

1 hour 456/8 miles

456/8=57

I used a calculator here so you can check

so,

1 hour is 57 miles

12 hours will take (57)(12)=684 miles

The answer is 684 miles

Hope the explanation and the answer helped you

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3 years ago

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Firlakuza [10]

-15t/2 + 14159/272

I'm not exactly sure what you are looking for, but this is what I got.

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3 years ago

Solve 2 1/2 divided by 5 1/3 = 8/x

ipn [44]

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We're dividing fractions, so we will flip the one in the denominator upside down and we will multiply it with the numerator.

$\frac { \frac { 5 }{ 2 } }{ \frac { 16 }{ 3 } } \quad =\quad \frac { 5 }{ 2 } \cdot \frac { 3 }{ 16 } =\frac { 5\cdot 3 }{ 2\cdot 16 } =\frac { 15 }{ 32 }$

Let's equal this too 8/x

$\frac { 15 }{ 32 } =\frac { 8 }{ x }$

Cross multiply.

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Divide both sides by 15.

$\frac { 256 }{ 15 } =\frac { 15x }{ 15 } \\ \\ \frac { 256 }{ 15 } =x$

4 0

3 years ago

If y varies as x, and y is 20 when x is 4, what is the constant of variation for the relation?

rusak2 [61]

Y = kx
so
k = y/x

<span>y is 20 when x is 4
k = 20/4 = 5

Answer
The </span><span>constant of variation for the relation = 5</span>

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3 years ago

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