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Otrada [13]
3 years ago
7

22. If triangle DEC equals about triangle BEC, which is true by CPCTC?

Mathematics
2 answers:
galben [10]3 years ago
7 0

Answer with explanation:

→Triangle DEC equals about Triangle B EC.

⇒The meaning of equal here,is that both the triangles that is,                  ΔDEC ≅ ΔB EC.

≡When Triangles are congruent,their corresponding sides and angles are equal .

Corresponding Sides which are equal by C P C TC:

1. BE = DE

2.BC =CD

3.EC, is Common.

Corresponding angles which are equal by C P C TC are:

1. ∠B EC=∠DEC

2. ∠ D CE=∠B CE

3.∠ E B C= ∠ E D C

Option A: ⇒Angle E BC equals about angle E DC

Kruka [31]3 years ago
4 0
<span>D. Line AE equals about line ED because if you measure line AE it is the same length as line ED</span>
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To compound 50% solution in which proportion must 95% sol and 30% sol be mixed to make
Varvara68 [4.7K]

Answer:

4/9

Step-by-step explanation:

Let the amount of 95% sol = a ml and

the amount of 30% sol = b ml.

So, the total amount of the compound=a+b=500 ml

As the compound is 50% solution, so

95% of a + 30% of b= 50% of (a+b)

(95/100)a+(30/100)b=(50/100)(a+b) [from equation (i)]

95a + 30b = 50(a+b)

95(a/b)+30 = 50(a+b)/b [dividing both sides by b]

95(a/b)+30 = 50(a/b+1)

95(a/b)+30 = 50(a/b)+50

95(a/b)-50(a/b)=50-30

45(a/b)=20

a/b=20/45

a/b=4/9

Therefore, a:b=4:9

As a+b= 500 ml, so the amount of 95% sol = \frac {500}{13}\times 4=\frac{2000}{13}=153.85 ml

and the amount of 95% sol = \frac {500}{13}\times 9=\frac{4500}{13}=346.15 ml

Hence, the proportion of 95% sol and 30% sol to make a compound of 50% sol must be 4/9.

3 0
3 years ago
6. Do planes GFE and HBC intersect? Explain.
BaLLatris [955]

Answer:

yes at line HE.

Step-by-step explanation:

Plane GFE is the plane that contains face EFGH of the prism.

Plane HBC is the plane that contains face BCEH of the prism.

The two planes do intersect, and their intersection is line HE.

3 0
3 years ago
Does anyone know a math app good for solving problems like this? If I don’t figure this out I’m screwed. Please help
murzikaleks [220]

I have a great website. It's called Math. way

6 0
3 years ago
Solve for x using<br> cross multiplication.<br> x = <br> 3x<br> 4<br> 2x + 7<br> 5<br> x = [?]
Lena [83]

Answer:

1.8 + 0.75

Step-by-step explanation:

1.80

+0.75

= 2.55

I think. :)

3 0
3 years ago
In a right triangle that has one acute angle of 18 degrees, cos 18 degrees is congruent to ?
vichka [17]

Answer:

cos(18°)=sin(72°)

Step-by-step explanation:

we know that

In a right triangle

cos(A)=sin(B)

If A and B are complementary angles

so

A+B=90°

In this problem

A=18°

B=90-18=72°

therefore

cos(18°)=sin(72°)

3 0
3 years ago
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