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8090 [49]
3 years ago
8

Help please! sssssssssssssss

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

UT=17 because both UT and RU are the same length, same with QU and US

Step-by-step explanation:

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There are a total of 100 balloons. If the ratio of yellow balloons to blue balloons is 8 to 12, how many of them are yellow
Ivanshal [37]
If you have 8 yellow balloons for every 12 blue balloons, then if you have 20 balloons in total, 8 out of 20 of those balloons will be yellow. Then you can set up this ratio:

\frac{8yellow}{20total} = \frac{Xyellow}{100total}

Then, you can use either cross multiplication or multiply the numerator and denominator by the same number to help solve for x. Personally, I prefer cross multiplication, so that's what I'll show you here:

\frac{8yellow}{20total} = \frac{Xyellow}{100total} \\ 8yellow*100total=20total*Xyellow

Finally, solve for x:

8yellow*100total=20total*Xyellow \\ 8*100=20*x \\ 800=20x \\ 800/20=20x/20 \\ x=40yellow

If you had 100 balloons, you will have 40 yellow balloons.

Hope this helps!!
6 0
3 years ago
In triangleABC, angle B= 90 degrees, cos(C)=15/17 and AB = 16 what is the measure of Angle A, Angle C and angle AC
Sergeeva-Olga [200]

Answer:

m∠C=28°, m∠A=62°, AC=34.1 units

Step-by-step explanation:

Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.

As,  cos(C)={15}/{17}

⇒ angle C=cos^{-1}(\frac{15}{17})=28.07^{\circ}\sim28^{\circ}

By angle sum property of triangle,

m∠A+m∠B+m∠C=180°

⇒ m∠A+90°+28°=180°

⇒ m∠A=62°

Now, we have to find the length of AC

sin 28^{\circ}=\frac{AB}{AC}

⇒ AC=\frac{16}{sin 28^{\circ}}=34.1units

The length of AC is 34.1 units

3 0
3 years ago
How to make four 2's equal 11
Ksju [112]
Answer : 2 = 4/4 + 4/4
3 0
3 years ago
A certain television is advertised as a 85 inch TV if the width of the TV is 67 how tall is the TV
Lunna [17]

Answer:

I believe the answer is 12

4 0
3 years ago
Read 2 more answers
Evaluate:<br> g(x) = 3•2x+2 + 3<br> g(3)
Studentka2010 [4]

Answer:23

Step-by-step explanation:

3·2(3)+2+3

=3·6+2+3

=23

6 0
3 years ago
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