Answer the question above.

Please solve for M<QTR

Andru [333]

Answer:

m∠QTR = 98°

Step-by-step explanation:

From the picture attached,

Radii of the circle are TQ and TR measuring equal lengths.

Therefore, ΔTQR is a isosceles triangle.

Opposite angles of the equal sides will be equal in measure.

m∠RQT = m∠TRQ = 41°

By angle sum theorem,

m∠RQT + m∠TRQ + m∠QTR = 180°

41° + 41° + m∠QTR = 180°

m∠QTR = 180° - 82°

= 98°

Therefore, m∠QTR = 98°

7 0

2 years ago

A forest covers 37 comma 000 acres. A survey finds that 0.2% of the forest is old-growth trees. How many acres of old-growth

miss Akunina [59]

74 acres of old-growth are there in the forest

Step-by-step explanation:

To answer the question, we need to calculate the 0.2% of 37,000.We can calculate this stating that exists a linear relationship between the percentage and the number of acres. We also need to state that 37,000 acres are the 100% of the acres.

$=\frac{0.2}{100} \times 37000\\ =0.002 \times 37000\\=74$

We find that if 37,000 acres are the 100% of the acres ⇒ The 0.2% of the acres are 74 acres (in which there are old-growth trees).

6 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

quester [9]

Answer:

Part 1) The price of a USB memory, stick selling at a 21% discount of its market price (m) ------> 0.79m

Part 2) The price or a CD that sells for 21% more than the amount (m) needed to manufacture the CD -----> 1.21m

Part 3) The final value of a painting after its initial value m, increases by 2/5 -----> $\frac{7}{5}m$

Part 4) The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy -----> $\frac{3}{5}m$

Step-by-step explanation:

Part 1) The price of a USB memory, stick selling at a 21% discount of its market price (m)

we know that

100% is the market price m

100%-21%=79%

79%=79/100=0.79

so

The price of a USB memory with a 21% discount of its market price is equal to multiply m by 0.79

(0.79)*m=0.79m

Part 2) The price or a CD that sells for 21% more than the amount (m) needed to manufacture the CD

we know that

100% is the amount m

100%+21%=121%

121%=121/100=1.21

so

The price or a CD that sells for 21% more than the amount (m) is equal to multiply m by 1.21

(1.21)*(m)=1.21m

Part 3) The final value of a painting after its initial value m, increases by 2/5

we know that

100% is the initial value m

2/5=0.40=40%

100%+40%=140%

140%=140/100=1.4

Convert to fraction

1.4=14/10=7/5

so

The final value is equal to m multiplied by 7/5

$\frac{7}{5}m$

Part 4) The total number of markers that Nancy has if she gives away 2/5 of her m markers to Amy

we know that

100% is the number of makers m

2/5=0.40=40%

100%-40%=60%

60%=60/100=0.6

Convert to fraction

0.6=6/10=3/5

The total number of markers that Nancy has is equal to multiply m by 3/5

so

$\frac{3}{5}m$

3 0

3 years ago

A plan for a park has a rectangular plot of wild flowers that needs to be enclosed by 54 feet of fencing. Only three sides need

Gekata [30.6K]

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

a) What is the largest area possible for the garden?

Now, let the length of the rectangular plot be 54 -2x,

and the width of the rectangular plot be x,

so that:

$\begin{gathered} \text{Area = (54 -2x) x = 54 x -2x}^2 \\ \frac{dA}{dx}=\text{ 54 - 4x = 0} \\ We\text{ have that:} \\ 54\text{ = 4x } \\ \text{Divide both sides by 4, we have that:} \\ \text{x = }\frac{54}{4} \\ \text{x = 13. 5} \end{gathered}$

Then, the largest area possible for the garden will be: