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Ganezh [65]
3 years ago
14

The denominator of a unit rate is always_____.​

Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0

Answer:

The denominator is always 1.

Step-by-step explanation:

Km per hour means: How many Km in ONE hour

Students per class means: How many students in ONE class

Dollars per box means: How many dollars for ONE box.

"per" means for each or for every 'ONE'

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Lines AC←→ and DB←→ intersect at point W. Also, m∠DWC=138° .
mr_godi [17]

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°

Solution:

Line \overrightarrow{A C} \text { and } \overrightarrow{B D} intersect at a point W.

Given m \angle D W C=138^{\circ}.

<em>Vertical angle theorem:</em>

<em>If two lines intersect at a point then vertically opposite angles are congruent.</em>

<u>To find the measure of all the angles:</u>

∠AWB and ∠DWC are vertically opposite angles.

Therefore, ∠AWB = ∠DWC

⇒ ∠AWB = 138°

Sum of all the angles in a straight line = 180°

⇒ ∠AWD + ∠DWC = 180°

⇒ ∠AWD + 138° = 180°

⇒ ∠AWD = 180° – 138°

⇒ ∠AWD = 42°

Since ∠AWD and ∠BWC are vertically opposite angles.

Therefore, ∠AWD = ∠BWC

⇒ ∠BWC = 42°

Hence the measure of the angles are

m∠DWC=138°, ∠AWB = 138°, ∠AWD = 42°, ∠BWC = 42°.

7 0
3 years ago
Does anyone get this question plss
a_sh-v [17]

Answer:

D)  1.0

Step-by-step explanation:

if y = 1 then x = 1

6 0
3 years ago
Find the total amount in the compound interest account.
Evgesh-ka [11]
\bf \qquad \textit{Compounding Continuously Earned Amount}\\\\&#10;A=Pe^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to& \$1740\\&#10;r=rate\to 12\%\to \frac{12}{100}\to &0.12\\&#10;t=years\to &5&#10;\end{cases}&#10;\\\\\\&#10;A=1740\cdot e^{0.12\cdot 5}

bear in mind that the continuously compounding interest is just that, a daily compounding cycle, taking a year as 365days.
3 0
3 years ago
Solving a system of linear equations using the substitution method. <br> 5x+4y=-26<br> 5-x=-6y
yan [13]
Solve for x in 2nd equation
times -1 both sides
x-5=6y
add 5
x=6y+5

sub

5(6y+5)+4y=-26
30y+25+4y=-26
34y+25=-26
minus 25 both sides
34y=-51
divide both sides by 34
y=-3/2
sub back

x=6y+5
x=6(-3/2)+5
x=-18/2+5
x=-9+5
x=-4


(-4,-3/2) is solution
5 0
3 years ago
Read 2 more answers
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality show
yuradex [85]
Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank? 8 + 9n ≥ 80, so n ≥ 8 8 + 9n ≤ 80, so n ≤ 8 9n ≥ 80 + 8, so n ≥ 9.8 9n ≤ 80 + 8, so n ≤ 9.8
3 0
3 years ago
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