Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)
We know that the angles opposite to equal sides of a triangle are equal.
∴ AB = AC ⇒ ∠B = ∠C
Now, Side BA of Triangle ABC has been produced to D.
∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)
⇒ 3x - 10 = 25 + x + 15
⇒ 3x - 10 = 40 + x
⇒ 3x - x = 40 + 10
⇒ 2x = 50
⇒ x = 50/2
⇒ x = 25
∴ The value of 'x' in the given figure is 25!
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄please solve the question
What is the slope-intercept form of the linear equation x + 4y = 12?
Quick please!!!!
Answer:
y=(12-x)/4
Step-by-step explanation:
subtract x on both sides, then divide by four
Answer:
Step-by-step explanation:
Slope intercept form: y = mx +b
x +4y = 12
4y = -x + 12
Divide the entire equation by 4
[tex]\dfrac{4y}{4}=\dfrac{-x}{4}+\dfrac{12}{4}\\\\\\y =\dfrac{-1}{4}x+3[/tex]
Find the range of the function.
f(x) = -7x2 – 3
-
Answer:
its x: x< -3
Step-by-step explanation:
ya
Will give brainliet no file plz
Answer:
it would be C
Step-by-step explanation:
which symbol would best replace the question mark below
Answer:
C?
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Answer:
3. 7
4. 22
Step-by-step explanation:
What divided by two equals 5? Ten! Then, what plus three equals 10? Seven!
17 + 5 (2 · 22 - 9) = (-6 · 22 + 10) +4 is true!
I hope that this helps!
Answer:
x = 7 and x = [tex]\frac{21}{8}[/tex]
Step-by-step explanation:
(3)
[tex]\frac{x+3}{2}[/tex] = 5 ( multiply both sides by 2 to clear the fraction )
x + 3 = 10 ( subtract 3 from both sides )
x = 7
-----------------------------------------------------------
(4)
17 + 5(2x - 9) = - 6x + 10 + 4 ← distribute parenthesis on left side and simplify
17 + 10x - 45 = - 6x + 14
10x - 28 = - 6x + 14 ( add 6x to both sides )
16x - 28 = 14 ( add 28 to both sides )
16x = 42 ( divide both sides by 16 )
x = [tex]\frac{42}{16}[/tex] = [tex]\frac{21}{8}[/tex]
A recipe for cooking a turkey states to allow 20 minutes for each pound of turkey and to add 5 minutes per pound if the turkey is stuffed. Our turkey weighs 16 pounds and will be stuffed. To have dinner at two o'clock in the afternoon, what time does the turkey need to go in the oven? Allow 1/2 hour for cooling and carving. Explain your answers and your thinking.
Answer:
6:30 A.M
Step-by-step explanation:
That's if you wanted it right at 2 after cooling for 30mins
Natalina packs 25 boxes in a 2 hour shift. How many boxes can be packed in a 7.5 hour shift?
Answer:
93.75 boxes
25/2 = 12.5 per hour
12.5*7.5 = 93.75
Find any four rational numbers between -2 and -1
Answer:
-19/10, -18/10, -17/10, -16/10
Step-by-step explanation:
Four Rational numbers between -2 and -1 are:-
-1.9,-1.8,-1.7,-1.6
=> -19/10, -18/10, -17/10, -16/10
Answer:
-1.72, -1.8, -11/8, -29/20.
Step-by-step explanation:
eight pounds of potatoes is 16 dollars. how much for 5 punds
Answer: that equals to 1.6
Step-by-step explanation:
. A rectangular trunk has a volume of 28,600 cubic inches. The trunk is 50 inches long by 22 inches wide. What is the trunk’s height
Helpppppppppppppppppppp
Whoever needed help with this MATH question I got it for you...
Answer: F(x)= 4,800(1.5)^X
Answer:
1+2=3
Step-by-step explanation:
Which one is linear or nonlinear?
Answer:
broo I have to download it just take a screenshot.....
A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?
Answer:
50
Step-by-step explanation:
on edge
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37
Answer:
0.2
Step-by-step explanation:
We will divide the number of girls who prefer burgers by the number of students
[] 5 + 5 + 6 + 4 + 7 + 3 = 30
[] 6 / 30 -> 0.52
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
If the slope of a line is -6, will that line be steep or shallow
Answer:
shallow
Step-by-step explanation:
Writing in Math Stacy multiplied 5 x 9 and said the nswer was 44. What two patterns could you use to show nat her answer is not correct?
Answer:
5*9= 45
Step-by-step explanation
Well using your hands you can put down your fifth finger and that will give you four fingers on the left and five on the right that then equals 45
help me please! find the angles and solve for x!!!
Answer:
x = 25; 47 degrees, 47 degrees, 86 degrees
Step-by-step explanation:
the two triangles are congruent so they have the same angles
that means 2x - 3 = x + 22
2x - 3 = x + 22
subtract x from each side
x - 3 = 22
add 3 to both sides
x = 25
and this is your answer
assuming that the triangles are isosceles triangles two of the angles are the same
the angles with the x on it are 47 after calculating
that means that the other angle across from it is also 47
a triangles angles added up is 180
47 + 47 + n = 180
the last angle after calculating is 86 degrees
What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?
Answer:
the slope is 2
Step-by-step explanation:
use the slope formula which is y2-y1/x2-x1
what is the slope of the line graphed on the coordinate plane
Answer:
The slope = 3/4
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}[/tex]
m = 3/4
kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax
Answer:
10.50
Step-by-step explanation:
Answer:
she will pay $10.50 in sales tax and $160.50 in total
Step-by-step explanation:
first, find 7% of 150.
150*.07=10.5
add 10.5 to the total
Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m= -3?
Check all that apply.
V=-
O A.
-*-3
B. 3x+y=1
O c. y= - 3x + 1
D. 7–4= – 3(x+1)
SUBMIT
Answer:
C
Step-by-step explanation:
m = -3
y = mx +b
y = -3x + b
Plugin x = -1 and y = 4
4 = -3*(-1) +b
4 = 3 + b
4-3 = b
b = 1
y = -3x + 1
Answer:
B, C, D
Step-by-step explanation:
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b ) = (- 1, 4 ) , then
y - 4 = - 3(x - (- 1) ) , that is
y - 4 = - 3(x + 1) → D
Distribute parenthesis
y - 4 = - 3x - 3 ( add 4 to both sides )
y = - 3x + 1 → C
Add 3x to both sides
3x + y = 1 → B
Which statement is true
Answer:
[tex]xv=yu[/tex]
Step-by-step explanation:
You can simplify the equation by cross multiplying, or doing it the more 'correct' way that some teachers way want:
[tex]\frac{x}{y}=\frac{u}{v}[/tex]
Multiply both sides by y:
[tex]x=\frac{yu}{v}[/tex]
Then multiply both sides by v:
[tex]xv=yu[/tex]
That's one of your answer options, so no need to do anything else.
Help fast, please!!!!!!!!!!!!!!
Answer: 25% or B
Step-by-step explanation:
1. Money in November - Money in October
2. 50 - 40 = 10 dollars increased
3. 10/40 = 0.25 or 25%
PLEASE HELP!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answer:
DE = ____24__ m∠E = ____22____
Step-by-step explanation:
I hope this helps
b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).
Answer:
y = 2x + 13 or -2x + y = 13
Step-by-step explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13
Solve for x.
x+ 26
3x - 32
x = [?]
= [
Enter
Answer:
29x
29
Step-by-step explanation:
x+26
3x-32
x=26
=29
- 3/4(12x+16)<9-5x Show your work
Answer:
x > -5.25
Step-by-step explanation:
Check here LOADING... for instructional material to complete this problem.
Evaluate the formula z=
p−p
pq
n when p=
388
1386, n=1386, p=0.30, and q=1−p
Answer:
-1.63
Step-by-step explanation:
Plug in the values listed into the equation
([388/1386] - 0.30) / √(0.30[1-0.30)/1386
-0.02006/0.01231
-1.63