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2 years ago

Determine the measure of the indicated angle!

Mathematics

1 answer:

Vanyuwa [196]2 years ago

7 0

The measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees

<h3>What is an angle?</h3>

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have triangles shown in the picture.

In the first triangle SUT:

PU is bisecting the angle SUT:

The measure of angle PUT:

Angle PUT = Half of Angle SUT

= 26/2

= 13 degrees

In the triangle SQR:

Angle SQP = Angle PQR

Angle SQP = 21 degrees

Angle PQR = 21 degrees

Thus, the measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees

Learn more about the angle here:

brainly.com/question/7116550

#SPJ1

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At the local clothing store 3 similar shirts and 4 similar jackets cost $360. 1 shirt and 3 jackets cost $220. Find the cost of

notsponge [240]

To solve this problem, it is easiest to set up a system of equations. Let's let the variable s represent the cost of a shirt and the variable j represent the cost of jackets. According to the given information, we can set up the following equations (because cost multiplied by quantity yields price):

3s + 4j = 360

1s + 3j = 220

Next, we can manipulate the second equation so that it equals s in terms of j. We do this by subtracting 3j from both sides of the equation, as shown below:

s = 220 - 3j

After that, we should substitute in this value for the variable s in the first equation.

3(220-3j) + 4j = 360

Next, we should use the distributive property to simplify the left side of the equation.

660 - 9j + 4j = 360

Then, we should simplify the left side of the equation by combining like terms.

660 - 5j = 360

After, we can subtract 660 from both sides of the equation to get the variable term alone.

-5j = -300

Finally, we should divide both sides of the equation by -5 in order to get the variable j alone.

j = 60

Now that we know the value of the variable j, we should substitute this value into one of the original equations and solve using division and subtraction to isolate the variable.

3s + 4j = 360

3s + 4(60) = 360

3s + 240 = 360

3s = 120

s = 40

Therefore, the cost of one shirt is $40.

Hope this helps!

7 0

3 years ago

PLEASE HELP!!

Nesterboy [21]

First, we need to find the volume of the pan. We do this by multiplying the length, width, and height together. This is:

$volume=10*12 \frac{1}{2} *2=250 in^{3}$

Next, we find the volume of the pieces of bread. We do this the same way.

$volume=2*2 \frac{1}{2}*2=10in^{3}$

Finally, we figure out how many times 10 can go into 250. We do this by dividing 250 by 10.

250/10=25, so Arla can cut 25 pieces of bread.

6 0

3 years ago

Find the length of x

Goshia [24]

Answer:

x = 8 $\sqrt{2}$

Step-by-step explanation:

The triangle is isosceles with legs congruent, both x

Using Pythagoras identity in the right triangle

x² + x² = 16²

2x² = 256 ( divide both sides by 2 )

x² = 128 ( take the square root of both sides )

x = $\sqrt{128}$ = $\sqrt{64(2)}$ = $\sqrt{64}$ × $\sqrt{2}$ = 8 $\sqrt{2}$

7 0

3 years ago

Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together?

Anon25 [30]

Answer:

45 minutes

Step-by-step explanation:

If two people work together, the time it takes to frame will obviously be shorter. Since Jake Takes four times longer, he will only cut off a fourth of Jerry's time. Which is 15 mins. 60 mins - 15 mins = 45 mins.

4 0

4 years ago

Given the functions flx) = 3x2, g(x) = x2 - 4x + 5, and h(x) = -2x2 + 4x + 1, rank them from leasrto greatest based on their axi

MakcuM [25]

9514 1404 393

Answer:

f(x), h(x), g(x)

Step-by-step explanation:

For a quadratic in standard form, ...

ax² +bx +c

the axis of symmetry is ...

x = -b/(2a)

For the various functions, the axes of symmetry are ...

f(x): x = 0/(2·3) = 0

g(x): x = -(-4)/(2·1) = 2

h(x): x = (-4)/(2(-2)) = 1

From least to greatest axis of symmetry the functions are ...

f(x), h(x), g(x)

4 0

3 years ago