Step-by-step explanation:
2a+26°+58°=180°
2a=180-26-58
2a=96
a=48
2*48+26=122
Given :
▪︎Measure of an angle in a parallelogram = 58°
▪︎Measure of the angle opposite this angle = (2x+26)°
We know that :
▪︎Opposite angles in a parallelogram are equal.
Which means :
[tex] =\tt 2a+ 26 = 58[/tex]
[tex] =\tt 2a = 58 - 26[/tex]
[tex] =\tt 2a= 32[/tex]
[tex] =\tt a = \frac{32}{2} [/tex]
[tex]\hookrightarrow\color{plum}\tt a = 16[/tex]
Thus, the value of a = 16
Let us now place 16 in the place of a and check whether or not we have found out the correct value of a:
[tex] =\tt 2 \times 16 + 26 = 58[/tex]
[tex] = \tt32 + 26 = 58[/tex]
[tex] =\tt 58 = 58[/tex]
Since the values in both the side match, we can conclude that we have found out the correct value of a.
▪︎Therefore, the value of a = 16
A forest covers 43,000 acres. A survey finds that 0.7% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
301 acres
Step-by-step explanation:
43,000 acres of forest
0.7% is old-growth
0.7% = 0.007
43,000 * 0.007 = 301 acres
Ratio A is equivalent to Ratio B. Ratio B is equivalent to Ratio C. Is Ratio A equivalent to Ratio C? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
If Ratio A is equivalent to ratio B and Ratio C is equivalent to ratio B than A is equivalent to ratio C
Answer:
Yaa
Step-by-step explanation:
Since ratio A is equivalent to ratio B and ratio C is equivalent to ratio B then A is equivalent to ratio C!!
Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.
Answer:
x=1.15
y=2.12
Step-by-step explanation:
look at the picture ..........
I’m so confuse pls help me
explain how you will determine the area od the circle if you were given the diameter of the circle
PLEASE CAN YOU EXPLAIN LIKE A BIG PARAGRAPH OF HOW YOU WILL DO IT PLEASE RIGHT NOW LIKE A BIG PARAGRAPH THANK YOU
Answer:
Ok you're talking about "PI"
Area of a circle:
πr^2
What that basically means is
π <- That sign is 3.14
You wanna times that with the radius (r).
The radius is half of the diamater so divde the diameter by 2 then mutiply whatever u get with 3.14
Then the final step is do 3.14 x radias then times 2.
That's it :D
Hope this helps ~
Identify the lines below
Answer:
the correct awnser is A
Step-by-step explanation:
.....
Answer:
parallel.
Step-by-step explanation:
I don't know how
write an equivalent expression.
-2x + 7
Answer:
7-2x
Step-by-step explanation:
A rectangular prism has a volume of 210 cubic meters. The length of the prism is 7 meters and the width is 6 meters. (Please help I'm an idiot and I don't know how to do this
Step-by-step explanation:
so we need to find the height as volume=width×length×height
210=6×7×height
210=42×height
height=210/42=5 meters
please mark brainliest
Answer:The answer is 5 (im assuming you need to find height.)
Step-by-step explanation: The formula to find height v/lw so you multiply 7 times 6 and divide that by 210.
An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it go?
Answer:
360 miles
Step-by-step explanation:
Step 1: 120 miles*3 hours
Step 2: 360 miles far.
please condense and/or solve and show work. log base 4 of 8+log base 4 of 2x=3
a board game is designed for ages 12 and up Write the inequality that represents the problem situation.
Answer:
x<=12 that is a greater than or equal to sign btw
Please help it's due today. Also please don't help if you don't know.
Answer:
Second Option
2x^10 y^12
Hope it helps....!
what is a scale copie
Answer:
A scale copy of a figure is a figure that is geometrically similar to the original figure.
Step-by-step explanation:
Which statement correctly describes the relationship between the lengths of the sides of the triangle shown below?
A. y squared equals x squared minus z.
B. y squared equals x squared minus z
squared.
C. x squared equals y squared plus z.
D. y plus z is equal to x squared.
Answer:
B. on edge 2021
Step-by-step explanation:
What is the answer for 438*1824
Answer:
798,912
Step-by-step explanation:
Someone plz help me
Answer:
jayden is 11.
39 + 2 is 41
41 -30=11
hope this helps
Step-by-step explanation:
Answer:
11? im positive its 11
Step-by-step explanation:
-30 cause hes 30 years younger than his mom
39 + 2 cause the mom is 2 years older then the dad.
39 + 2 = 41
then 41 - 30 = 11
the kid is 11
I need help with Geometry
Answer:
because this is a right triangle, we have''
[tex]\frac{1}{x^{2} }=\frac{1}{36.100}+\frac{1}{64.100}=\frac{1}{2304}\\\\=>x^{2}=2304\\\\ =>x=48[/tex]
Step-by-step explanatio
Evaluate
89% of
£323.09
Give your answer rounded to 2DP
Answer:
£287.55 (2.d.p)
Step-by-step explanation:
323.09x89/100 = 287.5501
Limone's Lemonade Corp. has a savings plan for its employees. If an employee makes an initial contribution of $1,000.00, the company pays 8% interest compounded quarterly. What is the value of the account after 5 years?
Answer: I don't know
Step-by-step explanation:The annual interest rate is 5%, and the interest accrues at a compounding rate for five years. To calculate the monthly interest, simply divide the annual interest rate by 12 months. The resulting monthly interest rate is 0.417%
Rebecca is making brownies. She uses 4 ½ cups of chocolate chips to make six pans of brownies. How many cups of chocolate chips are needed to make one pan of brownies? Type your answer as a fraction.
Answer:
The answer to this problem is 3/4
Step-by-step explanation:
To answer this problem, you need to divide 4 1/2 by 6. After you did that, your answer will be how many cups of chocolate chips there are in a serving, to check your answer, you can multiply 3/4 by 6 (Sorry if this is incorrect, im pretty sure it is correct) :)
Amelia sent an equal number of messages each day for one week. At the end of the week, she has sent 49 messages. How many messages did she send each day?
Answer:
7 messages
Step-by-step explanation:
1 week = 7 days
7 messages a day.
49 divide by 7
How do you
Expand y(3+t)
Answer:
3y+ty
Step-by-step explanation:
you do y x 3= 3y
then you do t x y= ty
What is the difference between vertical and horizontal lines?
Answer:
A vertical line is any line parallel to the vertical direction. A horizontal line is any line normal to a vertical line. Horizontal lines do not cross each other.
Solve for x
A )180
B)55
C)115
D)82.5
Answer:
55
Step-by-step explanation:
AB // DC
∠B + ∠C = 2x + 15 + x = 180
3x = 165
x = 55
Answer: B. 55
Step-by-step explanation:
You need to know that within one parallelogram, the same-side interior angles are supplementary angles, meaning that they add up to 180°.
---------------------------------------------------------------------------------------
Given
(2x+15)+x=180
Expand parenthesis
2x+15+x=180
Combine like terms
3x+15=180
Subtract 15 on both sides
3x+15-15=180-15
3x=165
Divide 3 on both sides
3x/3=165/3
x=55
Hope this helps!! :)
Please let me know if you have any questions
How many minutes are in nine and one fourth hours?
Answer:
555 minutes
Hope this helps!
Answer:
555 9x60=540
540+15=555 there is your answer
remember that 1/4 of an hour is fifteen minutes
pls mark brainliest
Step-by-step explanation:
I need help please!!!!
Answer:
c - 8.9
Step-by-step explanation:
2.3^2+ 8.6^2
✓79.25
8.9
Find the geometric mean between 6 and 30. Round answer to 2 decimal places.
Answer:
13.42
Step-by-step explanation:
Twenty pounds of bean are distributed equally into 16 bags to give out at the food bank.How many pounds of beans are in each bag?eter your answer in simplest form.
Answer:
1.25
Step-by-step explanation:
step 1.so if there is 20 pounds between 16 bags ok
step 2. divide 20 by 16 which equals 1.25
A band teacher ordered T-shirts for the marching band members. T-shirts cost $15 each, including tax, plus a one-time shipping fee of $10 for the order. The teacher paid a total of $370 for the T-shirts .How many T-shirts did the teacher order?
A. 15
B. 16
C. 24
D. 25
Answer:
C
Step-by-step explanation:
$370 - $10 = $360
$360 / $15 = 24
Find the slope of the graph
Answer:
Step-by-step explanation:
-2/5