Write an algebraic expression for “three less than the sum of a number and a four”

Answer:

q = 80 degrees

r = 70 degrees

s = 10 degrees

t = 70 degrees

u = 40 degrees

v = 60 degrees

Step-by-step explanation:

starting with the fact that all angles in any triangle always sum up to 180 degrees :

q = 180 - 60 - 40 = 80 degrees

r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees

the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.

that means the angles must be equal.

v = 60 degrees

u = 40 degrees

similar for 10-r-blank and t-s-blank.

s = 10 degrees

t = 70 degrees

u=60°

v=40°

q=80°

r=70°

s=70°

t=10°

Answer:

Solution given:

t=10°[inscribed angle on a same chord or arc is equal]

V=40°[inscribed angle on a same chord or arc is equal]

u=60°[inscribed angle on a same chord or arc is equal]

AGAIN;

40+60+10+r=180°[sum of interior angle of triangle]

r+110°=180°

r=180°-110°

r=70°

again

r=s=70°[inscribed angle on a same chord or arc is equal]

again

q=r+10°[exterior angle is equal to the sum of two opposite interior angle]

q=70+10=80°

Answer:

B

Step-by-step explanation:

The central angle is twice the angle on the circumference, subtended on the same arc, then

a = 0.5 × 110° = 55° → B

the required measure of angle b inscribed in the circle is 125.

A figure is shown, in which a measure of b is to be determined.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²,

where h, k is the coordinate of the circle's center on a coordinate plane, and r is the circle's radius.

Since, As shown in the figure

the angle subtended by an arc on center is twice the angle subtended by the same are to the point of circumference corresponding point on the circle.

Angle b ,
2b = 360 - 110
2b = 250
b = 250/2
b = 125

Thus, the required measure of angle b inscribed in the circle is 125.

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Answer:

Equation: y=45x+1000

A. $45

B. 1,000

C. y=45x+1000-->Independent=1,000-->Dependent=45

D. y=45(20)+1,000=1,900

E. 30 weeks

Step-by-step explanation:

To solve step "E", you must set up an equation.

Specifically--> 45x+1,000=2350, then solve

45x=1350

x=30

Answer: If he walked 20 blocks west straight from his exited appartment, then added an additional 5 blocks to the west, he would have walked a total of 25 blocks and to return to his appartment must walk 25 blocks straight back from where he cam from to return back to his appartment.

Step-by-step explanation:

Answer:

1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

2d

3c

4a

Answer:

10(4) > 10,000

10-(4) > 0.0001

10(4)/10(2) > 0.000001

10-(4) * 10(2) > 1/10(4) 0.01

Step-by-step explanation:

Step-by-step explanation:

For the 1st question, the answer is the 4th option.

For the 2nd question, the answer is 13 hours per gallon.

For the 3rd question,the answer is the 1st option.

For the 4th question, the answer is the 1st option.

For the 5th question, the answer is the 5th option.

Answer:

x = 14

Step-by-step explanation:

x - 42 = 98 - 9x

+42      +42

x = 140 - 9x

+9x       +9x

10x = 140

/10     /10

x = 14

The distance he can dig is 57/7 m deep

The formula for calculating the speed or rate of digging is given as;

Speed = distance/Time

Given the following

Speed = 19/14 meters per hour.

Time = 6hours

Substitute

Distance = 19/14 * 6

Distance = 114/14

Distance = 57/7 meters

Hence the distance he can dig is 57/7 m deep

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Answer:

YES by SAS

triangle TUV is similar to triangle TLM

Step-by-step explanation:

The ratios of the sides

24/6 = 4

36/9 = 4

so the sides are similar

We know angle UTV = angle LTM because they are vertical angles

we have side included angle side

The triangles are similar by SAS  ( side angle side)

triangle TUV is similar to triangle TLM

Answer:

Total mixture = (8x + 15y) / 100

Step-by-step explanation:

Butterfat x:

= 8% of x

= 8/100 * x

= (8 * x) / 100

= 8x / 100

Butterfat y:

= 15% of y

= 15/100 * y

= (15 * y) / 100

= 15y / 100

Total mixture = butterfat x + butterfat y

= 8x / 100 + 15y / 100

= (8x + 15y) / 100

Total mixture = (8x + 15y) / 100

Answer:

To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).

Hope this helps!

Answer:  Plot the two points (3,-6) and (1, -5). Draw a straight line through those points.

See the graph below.

=============================================

Explanation:

Plot the point (3, -6)

The slope -1/2 means the rise is -1 and the run is 2

If we moved to the right, then we'd drop down 1 and move to the right 2. That would move us from (3,-6) to (5,-7)

We can go in reverse of this. So instead of "move down 1", we move up 1. We're going left instead of right.

-----------

So we start at (3,-6) and move up 1 and to the left 2 to arrive at (1,-5)

Two points on this line are (1, -5) and (3, -6)

Once we have two points, we have enough to graph the line.

See the graph below.

Answer:

x=1

y=-1

Step-by-step explanation:

hope it will help you

Answer:

g(x) = 5x + 1

Step-by-step explanation:

Given data

We have the following expressions to work with

f(x) = 2x − 6 and

g(x) = 5x + 1

say the value of x = 3

let us put x into the two expressions above and compare the output

f(x) = 2*3 − 6= 6-6= 0

g(x) = 5*3 + 1= 15+1= 16

Hence the second function has the greatest output

Answer:

1. ΔA'B'C' = A' = (1, 1), B'(-1, 1), and C'(1, 4)

2. ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)

Step-by-step explanation:

1. The coordinates of the triangle ΔABC are; A(3, 1), B(5, 1), and C(3, 4)

The reflection of a line across the line x = 2, is given as follows

The distance between the x-coordinate of the preimage and the line of reflection which is parallel to the x-axis = The distance of the x-coordinate of the preimage from the line of reflection but opposite in sign

The distance from A(3, 1) from x = 2 is 3 - 2 = 1, therefore, the x-coordinate of the image, A' = 2 - 1 = 1, therefore, we have;

The coordinate of A' = (1, 1)

Similarly, we have; B(5, 1) (reflection across x = 2) → B'(-1, 1)

C(3, 4) (reflection across x = 2) → C'(1, 4)

Therefore when we reflect ABC across the line x = 2, we get ΔA'B'C', with A' = (1, 1), B'(-1, 1), and C'(1, 4)

2. Reflection of A'B'C' across the line x = -3, gives;

A'(1, 1) (reflection across x = -3) → A''(-7 1)

B'(-1, 1) (reflection across x = -3) → B''(-15 1)

C'(1, 4) (reflection across x = -3) → C''(-7, 4)

The coordinates of the reflection of ΔA'B'C' across the line x = -3 is ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)

[tex] \\ \tt \longmapsto 2 \frac{1}{3} \div 4\frac{1}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \times \frac{3}{13} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{13} = \frac{7}{x} \\ \\ \tt \longmapsto 7x = 7 \times 13 \\ \\ \tt \longmapsto 7x = 91 \\ \\ \tt \longmapsto x = \frac{91}{7} \\ \\ \tt \longmapsto x = 13[/tex]

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex] \frac{2 \frac{1}{3} }{4 \frac{1}{3} } = \frac{7}{x} \\ \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \frac{7}{ 3} \times \frac{3}{13} = \frac{7}{x} \\ \frac{7}{13} = \frac{7}{x} \\ 7x = 13 \times 7 \\ x = \frac{13 \times 7}{7} \\ x = 13[/tex]

Answer:

there is only one way to to roll a 3

1/36 = .044 = 4.4%

Step-by-step explanation:

Answer:

Can't it be 3 and up I'm not sure Correct me if so

Step-by-step explanation:

Answer:

D) 80°

Step-by-step explanation:

(n - 2)180 = 4(180) = 720

78 + 134 + 136 + 132 + 2x + x = 720

3x + 480 = 720

3x = 240

x = 80

Answer:

The answer is D:80 degrees.

Step-by-step explanation:

Step-by-step explanation:

Hey there!

From the given figure;

Measure of angle V + measure of angle W = measure of angle VUF {exterior angle is equal to the sum of opposite interior angles}

Therefore, angle VUF= 94°.

Hope it helps!

Answer:

<V + <W = < VUF

94 = < VUF

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<V + <W = < VUF

71+ 23 = < VUF

94 = < VUF

Answer:

We can define the algebraic transformations used here as:

Horizontal translation.

For a general point (x, y), a horizontal translation of N units is written as:

(x + N, y)

if N < 0, the translation is to the left

if N > 0, the translation is to the right.

Vertical translation:

For a general point (x, y), a vertical translation of N units is written as:

(x , y + N)

If N < 0, the translation is downwards

if N > 0, the translation is upwards.

Vertical dilation:

For a point (x, y), a vertical dilation of scale factor k is given by:

(y, k*y)

Horizontal dilation:

A dilation of scale factor k is written as:

(x/k, y)

Here we go from:

(x, y) to (3x - 4, (1/5)*y - 2)

So we have:

An horizontal dilation of scale factor 1/3 followed of a horizontal translation of 4 units.

And a vertical dilation of scale factor (1/5) followed by a translation downwards of 2 units.

Answer:

Step-by-step explanation:

From the picture attached,

If ΔPRQ ~ ΔPTS,

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

[tex]\frac{PR}{PT}= \frac{PQ}{PS}[/tex]

[tex]\frac{7.5+4.5}{4.5}= \frac{20}{7.5}[/tex]

[tex]\frac{12}{4.5}=\frac{20}{7.5}[/tex]

[tex]\frac{120}{45}= \frac{200}{75}[/tex]

[tex]\frac{8}{3}=\frac{8}{3}[/tex]

By the converse of similar triangles,

If two triangles ΔPRQ and ΔPTS are similar, sides ST and QR will be parallel.

Answer:

5

Step-by-step explanation:

(4/7)/(?/-6)=(-24/35)

(4/7)×(-6/?)=(-24/35)

(4×-6)/(?×7)=(-24/35)

-24/(?×7)=(-24/35)

-->7×?=35

-->?=35÷7

-->?=5

Answer:

11

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[6 - (-5)]² + (6 - 6)²

√(11)² + (0)²

√121

= 11

Answer:

x = - 4

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the equation of the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

f(x) = 2x² + 16x - 19 ← is in standard form

with a = 2, b = 16

Then the equation of the axis of symmetry is

x = - [tex]\frac{16}{4}[/tex] = - 4

Answer:

Solution given:

[tex]\bold{4*3^{x+1}-9^{x}=27}[/tex]

let 3^xbe a

4*a*3-a²=27

a²-12a+27=0

a²-9a-3a+27=0

a(a-9)-3(a-9)=0

(a-9)(a-3)=0

either

a=9

3^x=3²

:.x=2

or

a=3

3^x=3^1

x=1

x=2,1

Answer:

Step-by-step explanation:

Given :

From the diagram,

m∠GEF is 13 less than 5 times m∠DEG and ∠DEF = 149°,.

To Find :

the value of m∠GEF..

Solution :

As per given data,

m∠GEF = 5m∠DEG - 13° ...(i)

∠DEF = 149° ⇒ m∠GEF + m∠DEG = 149° ..(ii)

Substituting value of m∠GEF in (ii),

We get,

(5m∠DEG - 13°) + m∠DEG = 149°

6m∠DEG - 13° = 149°

6m∠DEG = 149° + 13° = 162°

m∠DEG = ° = 27°

Substituting value of m∠DEG in (i),

We get,

m∠GEF = 5(27°) - 13°

m∠GEF = 135° - 13°= 122°

Answer:

$43,799.50

Step-by-step explanation:

USing the formula:

A = P(1+r)ⁿ

n is the time = 5

1 + r = 1.04

P = 36,000

Substitute the values into the formula

A = 36000(1.04)⁵

A = 36,000(1.2166529024)

A = 43,799.50

Hence the value in the fifth year will e $43,799.50

Answer:

The first one

Step-by-step explanation:

Answer:

2 sets I think

Step-by-step explanation:

what are the answer choices

Answer:

so easye 7 put 6 1 put 0 in the other

put 2 frist and other put 13 that it put the anser