Answer:
m<T = [tex]28^{o}[/tex], m<M = [tex]62^{o}[/tex] and m<Z = [tex]90^{o}[/tex]
Step-by-step explanation:
From the given ∆TMZ, let the measure angle T be represented by T.
So that,
m<M = 2T + 6°
m<Z = 5T - 50°
Sum of angles in a triangle = [tex]180^{o}[/tex]
T + (2T + 6°) + (5T - 50°) = [tex]180^{o}[/tex]
8T -[tex]44^{o}[/tex] = [tex]180^{o}[/tex]
8T = [tex]180^{o}[/tex] + [tex]44^{o}[/tex]
= [tex]224^{o}[/tex]
T = [tex]\frac{224^{o} }{8}[/tex]
= [tex]28^{o}[/tex]
Therefore,
i. m<T = [tex]28^{o}[/tex]
ii. m<M = 2T + 6°
= 2 x [tex]28^{o}[/tex] + 6°
= [tex]62^{o}[/tex]
m<M = [tex]62^{o}[/tex]
iii. m<Z = 5T - 50°
= 5 x [tex]28^{o}[/tex] - 50°
= [tex]140^{o}[/tex] - 50°
= [tex]90^{o}[/tex]
m<Z = [tex]90^{o}[/tex]
the Millers drove 105 miles on 4 gallons of gas. at this rate, how many miles can they drive on 6 gallons of gas.
Answer:
157.5 miles with 6 gallons
Step-by-step explanation:
105miles / 4gallons = 26.25miles per gallon
26.25miles per gallon * 6miles = 157.5 miles
PLS HELP ASAP I MISSED THIS LESSON AND THIS IS DUE AT 11:59 THANK YOU
Answer:
x=8
Step-by-step explanation:
Answer:
x=8
Step-by-step explanation:
Please may someone help me on the following question -Thank you!
4a + x = 3b
Make x the subject of the formula
Answer:
x= 3b- 4a, a€R, b€R
Step-by-step explanation:
1. Move variable to the right-hand side and change it's sign.
2. Write the solution X in parametric form.
I'm stuck on this question:
What's 100 divided by 2?
Answer:
50
Step-by-step explanation:
100 into 2 parts is 50
The blue figure is a translation of the black image. Write a rule to describe the translation.
Answer:
The point at the Origin was moved down 4 and right 2
Step-by-step explanation:
Can someone please help with this questions?
If I fail this test I will not pass this class
Please help as fast as possible!!
Please
Answer:
5a. ΔGKM ~ ΔSPM by SAS
b. ΔABC is not similar to ΔDEF
6. The missing side is 2[tex]\sqrt{11}[/tex]
Step-by-step explanation:
5a. Yes, the triangles are similar.
<KMG ≅ <PMS (vertically opposite angles)
ΔGKM ~ ΔSPM by SAS
Ratio: GM:SM OR KM:PM
3:6 OR 2:4
1:2 OR 1:2
Ratio: 1:2
b. No, the triangles are not similar
ΔABC is not similar to ΔDEF
Ratio: AC:DF OR AB:DE
4:6 OR 2:4.5
1:1.5 ≠ 1:2.25
Ratio: not similar
6. let the missing side of the triangle be represented by x. Since the triangle is a right angled triangle, then applying the Pythagoras theorem we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/12/^{2}[/tex] = [tex]x^{2}[/tex] + [tex]/10/^{2}[/tex]
144 = [tex]x^{2}[/tex] + 100
[tex]x^{2}[/tex] = 144 - 100
= 44
x = [tex]\sqrt{44}[/tex]
= [tex]\sqrt{4 *11}[/tex]
= 2[tex]\sqrt{11}[/tex]
x = 2[tex]\sqrt{11}[/tex]
The missing side is 2[tex]\sqrt{11}[/tex].
Vanessa earns $6.00 per hour for watching the
neighbor's dog. How many hours does she have
to work to earn $132?
3^38 - 3^37 =2/3^x
answer
Step-by-step explanation:
3³⁸ - 3³⁷
= 3³⁷(3 - 1)
= 2 * 3³⁷
= 2 / [3^(-37)].
Hence x = -37.
If f(x)= x2+2x-10, what id f(-2)
The area of a rectangular garden is 6862 m².
If the width of the garden is 73 m, what is its length?
I’m stuck I need the answer
What is JK? please explain/show your work on how you got your answer
Answer:
JK = 20 mStep-by-step explanation:
A line segment that connects two midpoints of the sides of a triangle is called a midsegment.A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.Point J is midpoint of side HI as HJ = JI
Point K is midpoint of side GI as GK = KI
JK is midsegment as connects the midpoints of the sides
JK = 1/2HG as per property of midsegment
6x - 4 = 10x/26x - 4 = 5x6x - 5x = 4x = 4JK = 6x - 4 = 6*4 - 4 = 24 - 4 = 20 m
Answer:
[tex]JK=20m[/tex]
Step-by-step explanation:
It is given in the diagram that IJ = JH and IK = KG. Therefore, by the definition of a midpoint, we know that J and K are the midpoints of segments IH and IG respectively. Then, it can be concluded that JK is a midsegment by the definition of a midsegment. The Midsegment Theorem states that a midsegment connecting the midpoints of two sides of a triangle is parallel and half of the length of the third side. Thus, we know that JK is half of HG. Now, we can set up the following equation to solve for x:
[tex]JK = \frac{1}{2}HG\\6x-4=\frac{1}{2}(10x)[/tex]
Solving for x, we get:
[tex]6x-4=\frac{1}{2}(10x)\\6x-4=5x\\x-4=0\\x=4[/tex]
Therefore, [tex]JK = 6x - 4 = 6(4) - 4=24-4=20 m[/tex].
Hope this helps!
the equation y=3x+2 ?
Slope = -2/3, y-intercept = 1
Write the slope-intercept form of the equation of each line given the slope and y-intercept ?
Answer:
The answer is y=-2/3x+1
Step-by-step explanation:
Remember the slope intercept is y=mx+b
54.6g of sugar is needed to make 7 cakes. How much sugar is needed for 12 cakes?
|
Answer:
153.8 grams of sugar is needed
Step-by-step explanation:
Answer:
93.6g
Step-by-step explanation:
54.6g/7=7.8g
7.8*12=93.6
A food truck is selling 2 burritos for $5.
Which of the following equations models the relationship between burritos and dollars?
Given that,
A food truck is selling 2 burritos for $5.
Solution,
We need to find the relationship between burritos and dollars.
2 burritos = $5
To find the value of 1 burrito. Divide 5 by 2 as follows :
[tex]1\ \text{burrito}=$\dfrac{5}{2}\\\\1\ \text{burrito}=$2.5[/tex]
Hence, the relation between burritos and dollars is " [tex]1\ \text{burrito}=$2.5[/tex]"
Hey I neee help with this I don’t understand for number 1 it’s w=? For number 2 it’s w=75 and for number 3 it’s w=26. Pls I need help it’s due in 10 minutes I’ll mark brainliest possibly.
Answer:
1. W = 50 ft
2. L = 110 m
3. L = 61 m
Step-by-step explanation:
Area of a Rectangle
Given a rectangle of width W and length L, its area is calculated by the formula:
A = W.L
We are given three rectangle-shaped figures and are required to find different measures as explained below.
1. Length L=94 ft, Area = 4,700 square ft
We'll find the width by solving for W:
[tex]\displaystyle W = \frac{A}{L}[/tex]
[tex]\displaystyle W = \frac{4,700}{94}[/tex]
W = 50 ft
2. A=8,250 square m, W=75 m
We'll find the length by solving for L:
[tex]\displaystyle L = \frac{A}{W}[/tex]
[tex]\displaystyle L = \frac{8,250}{75}[/tex]
L = 110 m
3. A=1,586 square m, W=26 m
We'll find the length by solving for L:
[tex]\displaystyle L = \frac{A}{W}[/tex]
[tex]\displaystyle L = \frac{1,586}{26}[/tex]
L = 61 m
A tree grows at a rate of 4 feet per year. Which graph has a slope that best represents this rate?
Answer:
you got the answer in the comment, i just want more points lol sorry
Step-by-step explanation:
If there are 328 million people and 228 thousand become infected each day, how long will it take for all to be infected?
Answer:
1438.6 days
Step-by-step explanation:
We are told in the above question that:
228,000 people get infected per day. Hence, how long it would take for 328,000,000 people to be infected is calculated as:
228,000 people = 1 day
328,000,000 people = x days
Cross Multiply
228,000 people × x days = 328,000,000 people × 1 day
x days = 328,000,000 people × 1 day/228,000 people
x days = 1438.5964912 days
Approximately = 1438.6 days
Therefore, it would take 1438.6 days for 328,000,000 people to be infected.
i need help i don’t understand
2.1 = t + 4.4 / 3 what does t equal
Answer:
0.63
Step-by-step explanation:
0.63
look at photo and tell me the answer
Answer:
Step-by-step explanation:
El señor de las moscas trataba de dos personas que estaban enamoradas y no podían superarse y creo que eres estúpido
def
b
Answer:
STOP MAKIN FUNNY THINGS
Step-by-step explanation:
Two S-year old girls, Alyse and Jocelyn, have been training to run a mile racc Alyse's I mile A is approximately Normally distributed with a mean of 13.5 minutes and a standard deviation of 2.5 minutes. Jocelyn's I mile time approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 sile race on a randomly selected day?
Answer:
Step-by-step explanation:
Please help me. I do not understand this question.
Answer:
The true statement is h < k ⇒ (3)
Step-by-step explanation:
∵ The equation of the graph is y = [tex]\sqrt{x+h}[/tex] + k
∵ (-h, k) are the coordinates of its vertex point
∵ -h is the x-coordinate of the vertex point
∵ x-coordinate of the vertex point is -3
∴ -h = -3
→ Divide both sides by -1
∴ h = 3
∵ k is the y-coordinate of the vertex point
∵ y-coordinate of the vertex point is 4
∴ k = 4
∵ 3 < 4
→ That means h is smaller than k
∴ h < k
∴ The true statement is h < k
Insert < or > in the area between the integers to make the statement true.
73
- 22
W
о O 73> - 22
0 <
73 < -22
Answer:
lol > bc a non negative number is more
please help i’ll do anything and give the brain thing :((
Answer:
add me on snap kharding1805 and I will add you back
g(x)= 3x-5
h(x)=2/2x+3
write h(g(x)) as an expression terms of x
Answer: h(g(x))= 2/6x-7
Step-by-step explanation:
1.h(g(x))= 2/(g(x))+3
2.g(x)= 3x-5
h(g(x))= 2/2(3x-5)+3
=2/6x-10+3
=2/6x-7
In the school competition jenny bounced a ball 150 times in 3 minutes. Express her bouncing rate in its simplest form
Answer:
Jenny bounced the ball 150 times She did that over an interval of 3 minutes To express rate of change over an interval you do [tex] \frac{change \: in \: motion}{change \: in \: time} [/tex]So you get [tex] \frac{150}{30} = 50 \: bounces \: per \: minute[/tex]Please rate positively and give brainlistPlease help me fill in the blank:(
for brainiest
Evaluate the expression shown below and Write your answer as a fraction in simplest form
3/4 -12/5
Answer:
-33/20
Step-by-step explanation:
JUST SPREADING THE MESSAGE!! Just so everyone knows HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS, someone told me to do this