Given:
△BTS≅△GHD, BS = 25, TS = 14, BT = 31, GD = 4x - 11, m∠S = 56°, m∠B = 21°, and m∠H = (7y + 5)°.
To find:
The value of y.
Solution:
In △BTS,
[tex]m\angle B+m\angle T+m\angle S=180^\circ[/tex] (Angle sum property)
[tex]21^\circ+m\angle T+56^\circ=180^\circ[/tex]
[tex]m\angle T+77^\circ=180^\circ[/tex]
[tex]m\angle T=180^\circ-77^\circ[/tex]
[tex]m\angle T=103^\circ[/tex]
We have,
[tex]\Delta BTS\cong \Delta GHD[/tex]
So, [tex]\angle T\cong \angle H[/tex] (By CPCTC)
Then, [tex]m\angle T=m\angle H[/tex]
Now,
[tex]103=7y+5[/tex]
[tex]103-5=7y[/tex]
[tex]98=7y[/tex]
Divide both sides by 7.
[tex]14=y[/tex]
Therefore, the value of y is 14.
what is the value of the expression below when X=5 6x+5
Answer:
35
Step-by-step explanation:
6 x 5 = 30
30 + 5 = 35
Answer:
35
Step-by-step explanation:
6 x 5 = 30
30 + 5 = 35
Evaluate the following
Answer:
2/3
Step-by-step explanation:
Answer:
B 2/3
Step-by-step explanation:
I evaluated using a calulator. or square root by opposite of 1/2 which is 2.
y varies inversely as x. When x=10, y=20. Find y when x=50
Answer:
y=100
Step-by-step explanation:
You can solve this by comparing the ratio.
The first set is 10:20 or 1:2 when simplified.
This can then be applied to the second set. If x=50, then 50 times 2 will give you the answer of 100.
HELP WILL MARK BRAINLIEST
x=?
y=?
Answer:
I AM PRETTY SURE X IS AND ACUTE AND Y IS A RIGHT IF IM CORRECT
Y=90 AND X=30
:/
Step-by-step explanation:
Wai keong's monthly salary is twice the amount he save in April he save $3500 in April. In may, he saved $4200 less than the amount he spent. How much is his monthly salary? How much did he save in may?
Answer:
Salary is 7000
He saved 2800 in may
The monthly salary of the Wai keong will be $7,000 and the amount of his savings will be $2,800.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Wai keong's monthly salary is twice the amount he save in April he save $3500 in April.
Let x be the monthly salary of the Wai keong.
Then the equation will be
x = 2 × $3500
x = $7,000
The monthly salary is $7,000.
In may, he saved $4200 less than the amount he spent.
Then the amount of money that he can save will be
⇒ $7,000 - $4,200
⇒ $2,800
The monthly salary of the Wai keong will be $7,000 and the amount of his savings will be $2,800.
More about the linear system link is given below.
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What are m and b in the linear equation 5 + 12x + 1 + 15x = y?
Answer: m = 27, b = 6
Step-by-step explanation:
1. Start by combining like terms
6 + 27x = y
2. Rearrange into standard form (y = mx +b)
y = 27x +6
Interpret the values:
m = slope -> 27
b = y-intercept -> 6
What is an equation for the line that passes through the coordinates (2,0) and (0,3)
The equation of a line that pass through the point (x1,y1) and has a slope of m is :
y=(-3/2)x+3"Straight Equation"Given:
A(2,0)
B(0,3)
Slope=(y2-y1)/(x2-x1)slope=(3-0)/(0-2)=3/-2=-3/2slope=-3/2let's do (2,0)
x1=2y1=0m=slope=-3/2Equation:
y-y1=m(x-x1)y-0=-3/2(x-2)y=-3/2(x-2)y=(-3/2)x+3The equation of a line that pass through the point (x1,y1) and has a slope of m is y=(-3/2)x+3.
Learn more about "Straight Lines":
https://brainly.com/question/4695375?referrer=searchResults
Which statements are true about the ordered pair (7, 19) and the system of equations?
The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true.
The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true.
The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (7, 19) is a solution to the system because it makes both equations true.
Answer:
(7,19) is a solution for only the first equation (2x-y= -5), so it is not a solution to the systemmmm
Step-by-step explanation:
have a nice dayyy
Which expression is equivalent to −76x+92?
Answer:
4(−19x+23) is equivalent to the expression
Step-by-step explanation:
Please help I’m stuck on this question
uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
what is 374 times 4568738
Answer:
1708708012
Hope I helped
Lori entered a 100 km race. A Kilometer is about of a mile. About how many miles ling is the race?
miles
Answer:
About 62.1371
Step-by-step explanation:
It takes Sam 3 hours to rake leaves, but if Laura helps, it takes 2 hours. How long would it take Laura to rake the leaves on her own?
Answer:
6 hours
Step-by-step explanation:
Given that:
Time taken by Sam = 3 hours
Sam's rate = 1/3
Time taken : Sam + Laura = 2 hours
Sam's rate + Laura's rate = 1/2
Let time taken by Laura = x
1/3 + 1/x = 1/2
1/x = 1/2 - 1/3
1/x = (3 - 2) / 6
1/x = 1 /6
x = 6
Hencw, it will take 6 hours for Laura alone to rake leaves
Select all numbers that have an absolute value of 0.6
-60
1/6
-0.6
0.6
Answer:
60 and 0.6
Step-by-step explanation:
Kendall's mom and dad have agreed to sponsor her in a school walk a thon to raise money for soccer uniforms. Her mom is donating 6 dollars to her. Her dad is donating 3 dollars for each mile she walks. How much money will she collect if she walks 5 miles
Answer:
$15.00
Step-by-step explanation:
She gets $15.00 because she already gets 6 from her mom and the dad is giving her 3 dollars every mile she walks. So 5 x 3 = 15. She earns $15.00 form her dad and together combined with moms money($6.00), would be $21.00. So the answer is $15.00.
Your welcome!
Beekeepers sometimes supplement the diet of honey bees with sugar water to help promote colony growth in the spring and help the bees survive through fall and winter months. The tables below show the amount of water and the amount of sugar used in the Spring and in the Fall.
Answer:
wheres the tabel ?
Step-by-step explanation:
Solve the equation q/1.6=5
Answer:
q = 8
Step-by-step explanation:
To solve for q, you must isolate it.
In this case, you must isolate the q by multiplying 1.6 on both sides.
This makes the answer to be q = 8.
When multiplying two negative integers what is the sign of the product
Answer:
negative multiplied by a negative is a positive.
a positive multiplied by a positive is a negative
a positive multiplied by a positive is a positive.
Step-by-step explanation:
Answer:
on edge 2022 its A positive
Step-by-step explanation:
i took the test
a concert was held at the park. for every 3 men who attended there were 4 women. If 189 people attended the concert, how many were men? how many were women?
Answer:
81 men and 108 women
Step-by-step explanation:
3 men +4 women=7
189÷7=27.
for every 3 men,27×3=81
for every 4 women,27×4=108
7. Which graph represents a proportional
relationship
PLEASE HELP ME
Answer:
B
Step-by-step explanation:
It's a relationship
The diagram shows a triangle.
46
14p
36
What is the value of p?
Answer: use symolab
Step-by-step explanation:
Select all the correct expressions in the table which expressions are equivalent to the given complex number 45+2i
The expressions are given below:
What is complex number?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
Given:
45+ 2i
9+4 i + 2( 4 + 7i)(1- 2i)
= 9 +4i + 2( 4 - 8i + 7i +14)
=9 + 4i + 36 - 2i
= 45 - 2i
and,
(9 + 4i )+ (36 - 2i)
=45 + 2i
Hence, learn more about complex number here:
https://brainly.com/question/28007020
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How much would the tip be if you left 18% on a $75.45 steak dinner
Answer:
13.58 is the 18 percent tip
pa shipment of 600 part 30 were defective in a shipment of 1000 how many should be defective
$1.240 at 8%
compounded
annually for 2
years
Write 10 to the 3rd power as a multiplication expression
Answer:
10*10*10
This is answer
Answer:
10^3=10*10*10
Step-by-step explanation:
Exponents is just saying how many there are basicly. so if it is 10 to the 3. It is just 10 *10*10
lowest common multiple of 42 and 63
Answer:
420
Step-by-step explanation:
its is 420 I guess it is what it is
Answer: The LCM of 42 and 63 is 126 QwQ
HOPE THIS HELPED!!! (you can mark me as brainliest if you want)
Franklin saved money to buy art supplies.
He used 15 of his savings to buy brushes. He used 12 of his savings to buy paint.
What fraction of his savings does he have remaining?
Answer:
Franklin has 73 percent of his savings left.
Answer:
If you need a Fraction the fraction answer is 3/10 :)
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Answer:x=13
Step-by-step explanation:
Since they are both corresponding angles you can create the equation
5x+21=86
Subtract 21 from each side
5x=65
Divide each side by 5
X=13
What is the answer.
A. The elevation of sea level is 0 km and the elevation of the summit is 5 km.
B. The elevation of sea level is 5 km and the elevation of the summit is 5 km.
C. The elevation of sea level is 0 km and the elevation of the summit is 10 km.
D. The elevation of sea level is 5 km and the elevation of the summit is 10 km.
Answer:
D. The elevation of sea level is 5 km and the elevation of the summit is 10 km.
Step-by-step explanation:
Please give me brainliest'