Given: BC bisects EBA. m EBC = 62°.
Sketch a picture of this situation, then use your picture to find each angle measure.
Draw and label a picture (required)
Find each angle measure.
(No work needs to be shown.)
m2 EBC = 62°
mZEBA =
m2 CBA =

Answer:

y = [tex]\sqrt{19^2 + 8.2^2}[/tex]

Step-by-step explanation:

to get the hypotenuse:

use the Pythagorean theorem:

a² + b² = c²

where a = 19,  b = 8.2  c = y

plugin values:

19² + 8.2² = y²

y = [tex]\sqrt{19^2 + 8.2^2}[/tex]

Answer:

y = [tex]\sqrt{19^2+8.2^2}[/tex]

Step-by-step explanation:

Find the hypotenuse

The values of x are : 6.27 and -1.27

Answer:

Simplifed is -3a-7

Step-by-step explanation:

14 – 3(a + 7)

Solve it out-

[tex]-3(a+7)+14\\-3(a) -3(7) \\-3a-21+14\\\\=-3a-7[/tex]

Answer:

[tex]\frac{22}{3}[/tex] = b

or

7[tex]\frac{1}{3}[/tex] = b

(they are the same value, just different ways of writing it)

Step-by-step explanation:

4 = -[tex]\frac{2}{3}[/tex] (5) + b

simplify

4 = -[tex]\frac{10}{3}[/tex] + b

now use inverse operations

4 = -[tex]\frac{10}{3}[/tex] + b

+[tex]\frac{10}{3}[/tex]  +[tex]\frac{10}{3}[/tex]

[tex]\frac{22}{3}[/tex] = b

Answer:

1. The runner travels 8 miles in 2 hours

2. The runner's speed is 4 miles per hour

Step-by-step explanation:

EDG 2020

The runner travels 10 miles in 2 hours.

From the graph determine how much distance travel by runner in 2 hours.

The graph is a demonstration of curves  which gives the relationship between x and y axis.

Question seems to be incomplete. Here is the assumed data, from graph.

x (time) in hours       = 1  2  3  4  5
y (distance) in miles =  5 10 15 20 25

Here, from data runner travels 10 miles in 2 hours.

Thus, the runner travels 10 miles in 2 hours.

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Answer:

B.)

Step-by-step explanation:

that is a characteristic of a maximum value parabola.

Answer: it's the letter b.

Step-by-step explanation:

Answer:

for the first one rule x6-3:

4=21, 8=45, 5=27, 9=51, 7=39, and 10=57

For the next one:

1=2, 2=4, 3=6, 6=12, 9=18, and 10=20

Step-by-step explanation:

Okayy! Done! The first number is input, the second number is output. So first you have 2 times 4 divided by 2! 3 times 4 divided by 2. Just follow the rule.

Answer:

I can't see it.

Step-by-step explanation:

Answer:

257

Step-by-step explanation:

Let the number of Adults = x

Number of senior citizens = y

Number of children = z

x + y + z = 670 tickets

The Family Arts Center charges $22 for adults, $13 for senior citizens, and $5 for children for their live performance on Sunday afternoon.

$22 × x + $13 × y + $5 × z = $8526

22x + 13y + 5z = 8526

There were 49 more children than adults.

z = x + 49

x + y + z = 670 tickets

x + y + x + 49 = 670

2x + 49 + y = 670

y = 670 - 2x - 49

We substitute

22x + 13y + 5z = 8526

22x + 13(670 - 2x - 49) + 5(x + 49) = 8526

22x + 8710 - 26x - 637 + 5x +245 = 8526

22x + 5x - 26x + 8710 - 637 + 245 = 8526

x + 8318 = 8526

x = 8526 - 8318

x = 208

The number of Adults = 208

The number rod children is calculated as:

z = x + 49

z = 208 + 49

z = 257

The number of children = 257

Answer: -3.125

Step-by-step explanation: -1.25 x 2.5 = -3.125.

Answer: 0.91

Step-by-step explanation: im hungry

Answer:

He will pay $640 in interest in 4 years.

Step-by-step explanation:

Yearly interest will be $160

because $4,000 x 7% = $160

$160 x 4 years = $640

Answer:

Lemon juice / water  =  12,5 / 47,5  or 26,31 %

Step-by-step explanation:

First step:

We got  60 liters. of water and we replace 15 liters. of water and add 15 liters of lemon juice, then our mixture is:

60 lts. of mixture       ⇒ with      45 lts. is water   and 15 lts. is lemon juice

The proportion of the mixture  

each liter of the mixture is   0,75 lts. of water and 0,25 of lemon juice

2 step

Removing 10 lts. of mixture implies

10 lts of mixture    means    7,5 lts. of water and 2,5 lts. of lemon juice

then we have

50 lts. of mixture     with   (45 - 7,5 = 37,5 lts.) of water and (15 - 2,5 = 12,5 ) lts. of lemon juice

third step

Addind 10 lts. of water:

60 lts. of mixture  with  ( 37,5 + 10 = 47,5) lts. of water and 12,5 lts. of lemon juice

Final mixture is

60 lts. of mixture with   47,5 lts. of water  and 12,5 lts. of lemon juice

Proportion

Lemon juice / water  =  12,5 / 47,5    or  26,32 %

Answer:f(x)=-3x+6

Step-by-step explanation:

Answer:

A. f(x)=-3x+6

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Ramina found the length of two pieces of ribbon to be 47.6 inches and 39.75 inches, the effective strategy of finding the sum of the two lengths is to:

1) First is to add the two values together

47.6 + 39.75

= (47+0.6)+(39+0.75)

= (47+39)+(0.6+0.75)

= 86 + 1.35

= 87.35

2) Round up the answer to nearest whole number.

87.35 ≈ 87 (note that we couldn't round up to 88 because the values after the decimal point wasn't up to 5)

Option C is correct

Answer:

B. Round 39.75 to 40 and 47.6 to 48, then add.

Step-by-step explanation:

Answer:

the answer is B hope this helps

Function y=(x-1)(x-1) satisfy the condition for the given graph.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

According to given graph,

At x =0, the value of y = 1,

So substitute x = 0 in the given options,

Which option gives y = 1 will be correct option.

(A)

y = x² - 5x + 6

y = 0 -5x0 + 6

y = 6

(B)

y = (x-1) (x-1)

y = (0-1)x (0 - 1)

y = 1

(C)

y=(x-3) (x+1)

y = (0-3)x(0+1)

y = -3

(D)

y = x² -x + 5​

y = 0 - 0 + 5

y = 5

Option (B) is the correct option.

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Answer:

[tex]d=\sqrt{593}[/tex]

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

[tex]d=\sqrt{(z-y)^2+(w-x)^2}[/tex]

We are given the points (5, 14) and (−3, −9). Substituting into the formula:

[tex]d=\sqrt{(-9-14)^2+(-3-5)^2}[/tex]

[tex]d=\sqrt{(-23)^2+(-8)^2}[/tex]

[tex]d=\sqrt{529+64}[/tex]

[tex]\boxed{d=\sqrt{593}}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

the unit rate is 1.33$ per pound of apples

Step-by-step explanation:

you can rewrite the word problem as

3x = 3.99.

now just divide both sides by 3.

3x / 3 = 3.99/3

x = 1.33

Step-by-step explanation:

Solution,

since two of these triangle are similar so,

i) LK/LJ=MN/NO

or,j/8=18/12

or,j=18×8/12

.°. j = 12m

ii)JK/JL=MO/NO

or,10/8=n/12

or,120/8=n

.°.n=15m

Given:

Malik's arts and crafts shop has a bolt of crimson velvet 32 meters long.

Velvet purchased by first customer = 120 centimeters

Velvet purchased by second customer = 14 meters

To find:

The remaining velvet in Malik's shop.

Solution:

We know that,

1 meter = 100 cm

Using this conversion, we get

32 meter = 3200 cm

14 meter = 1400 cm

Now,

Remaining velvet in Malik's shop = (3200 - 120 - 1400) cm

                                                    = 1680 cm

Therefore, the remaining velvet in Malik's shop is 1680 cm.

Answer:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

Part 2:

The diameter of the sun is approximately 109 times the diameter of the earth.

Step-by-step explanation:

Part 1:

Due to these magnitudes are too big, it is better to use km as a unit of diameter measurement.

So we can rewrite the diameter of the Earth in terms of km, knowing that 1 km = 1000000 mm.

[tex]D_{E}=1.2742\times 10^{10}mm*\frac{1km}{1000000mm}=1.2742\times 10^{4} km[/tex]

Part 2:

We can divide each diameter to find the relation between them.

[tex]\frac{D_{S}}{D_{E}}=\frac{1.391\times 10^{6} km}{1.2742\times 10^{4} km}=109.2[/tex]

Therefore the diameter of the sun is approximately 109 times the diameter of the earth.

I hope it helps you!

Given parameters:

        1.        [tex]-\frac{7}{8} + \frac{1}{4}[/tex]  

         [tex]-\frac{7}{8} + \frac{1}{4}[/tex]; find the LCM = 8

             =    [tex]\frac{-7 + 2 }{8}[/tex]        

             =     [tex]\frac{-5}{8}[/tex]

       2.   [tex]-\frac{12}{5} + 15.3[/tex]  

            Make the fraction decimal;

             [tex]-\frac{12}{5}[/tex]   = -2.4

            So;

                        -2.4 + 15.3  = 12.9  

Answer:

Step-by-step explanation:

20 + 16

= 4 (5 + 4)

= 4(5) + 4(4)

= 20 + 16

therefore, the answer is 4 (5 + 4)

Answer:

B

Step-by-step explanation:

B is the only choice that fails the vertical line test. A line basically touches 2 points on choice B. It can only touch 1.

Answer:

262, 440

Step-by-step explanation:

40 x 3^8

40 x 6561

262, 440

Answer:

x=1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.